On the Derived Categories and Quasitilted Algebras

In this paper, we present some results on the bounded derived category of Artin algebras, and in particular on the indecomposable objects in these categories, using homological properties. Given a complex X*, we consider the set J(X*) = {i is an element of Z vertical bar H(i)(X*) not equal 0} and we define the application l(X*) = maxJ(X*) - minJ(X*) + 1. We give relationships between some homological properties of an algebra and the respective application l. On the other hand, using homological properties again, we determine two subcategories of the bounded derived category of an algebra, which turn out to be the bounded derived categories of quasi-tilted algebras. As a consequence of these results we obtain new characterizations of quasi-tilted and quasi-tilted gentle algebras.

Polynomial identities for the ternary cyclic sum

We simplify the results of Bremner and Hentzel [J. Algebra 231 (2000) 387-405] on polynomial identities of degree 9 in two variables satisfied by the ternary cyclic sum [a, b, c] abc + bca + cab in every totally associative ternary algebra. We also obtain new identities of degree 9 in three variables which do not follow from the identities in two variables. Our results depend on (i) the LLL algorithm for lattice basis reduction, and (ii) linearization operators in the group algebra of the symmetric group which permit efficient computation of the representation matrices for a non-linear identity. Our computational methods can be applied to polynomial identities for other algebraic structures.

On moduli spaces for abelian categories

We show that if A is an abelian category satisfying certain mild conditions, then one can introduce the concept of a moduli space of (semi)stable objects which has the structure of a projective algebraic variety. This idea is applied to several important abelian categories in representation theory, like highest weight categories.

Nuclear elements of degree 6 in the free alternative algebra

We construct five new elements of degree 6 in the nucleus of the free alternative algebra. We use the representation theory of the symmetric group to locate the elements. We use the computer algebra system ALBERT and an extension of ALBERT to express the elements in compact form and to show that these new elements are not a consequence of the known clegree-5 elements in the nucleus. We prove that these five new elements and four known elements form a basis for the subspace of nuclear elements of degree 6. Our calculations are done using modular arithmetic to save memory and time. The calculations can be done in characteristic zero or any prime greater than 6, and similar results are expected. We generated the nuclear elements using prime 103. We check our answer using five other primes.

Filtered Multiplicative Bases of Restricted Enveloping Algebras

We study the problem of the existence of filtered multiplicative bases of a restricted enveloping algebra u(L), where L is a finite-dimensional and p-nilpotent restricted Lie algebra over a field of positive characteristic p.

Jordan Gradings on Associative Algebras

In this paper we apply the method of functional identities to the study of group gradings by an abelian group G on simple Jordan algebras, under very mild restrictions on the grading group or the base field of coefficients.

The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite W-algebras

We address two problems with the structure and representation theory of finite W-algebras associated with general linear Lie algebras. Finite W-algebras can be defined using either Kostant`s Whittaker modules or a quantum Hamiltonian reduction. Our first main result is a proof of the Gelfand-Kirillov conjecture for the skew fields of fractions of finite W-algebras. The second main result is a parameterization of finite families of irreducible Gelfand-Tsetlin modules using Gelfand-Tsetlin subalgebra. As a corollary, we obtain a complete classification of generic irreducible Gelfand-Tsetlin modules for finite W-algebras. (C) 2009 Elsevier Inc. All rights reserved.

Nonhomogeneous subalgebras of Lie and special Jordan superalgebras

We consider polynomial identities satisfied by nonhomogeneous subalgebras of Lie and special Jordan superalgebras: we ignore the grading and regard the superalgebra as an ordinary algebra. The Lie case has been studied by Volichenko and Baranov: they found identities in degrees 3, 4 and 5 which imply all the identities in degrees <= 6. We simplify their identities in degree 5, and show that there are no new identities in degree 7. The Jordan case has not previously been studied: we find identities in degrees 3, 4, 5 and 6 which imply all the identities in degrees <= 6, and demonstrate the existence of further new identities in degree 7. our proofs depend on computer algebra: we use the representation theory of the symmetric group, the Hermite normal form of an integer matrix, the LLL algorithm for lattice basis reduction, and the Chinese remainder theorem. (C) 2009 Elsevier Inc. All rights reserved.

ONGs no Brasil: um estudo sobre suas características e fatores que têm induzido seu crescimento

Esse trabalho busca identificar as principais características assumidas pelas organizações não-governamentais (ONGs) brasileiras e os fatores que têm contribuído para o expressivo crescimento dessas organizações observado nas duas últimas décadas. A tese aqui defendida é de que elas foram legitimadas pela sociedade, à despeito da nebulosidade que envolve suas práticas. Partindo da constatação de que o termo é polissêmico e de que não há um marco legal consolidado para delimitar claramente o que é uma ONG, a pesquisa adotou um universo bem específico: as ONGs filiadas à Associação Brasileira de Organizações Não-Governamentais (ABONG), sediadas no município do Rio de Janeiro. As características assumidas pelas organizações pesquisadas foram levantadas em entrevistas com seus dirigentes, visitas às suas sedes e nos documentos institucionais disponibilizados. Também foram entrevistados formadores de opinião da sociedade carioca. O levantamento de dados contou ainda com uma revisão da literatura disponível. Foi utilizada a Teoria das Representações Sociais para um melhor entendimento da relação que a sociedade estabeleceu com as ONGs. A tese revela que as características assumidas pelas ONGs são bastante diferenciadas. Sobre os fatores que têm induzido o crescimento dessas organizações, verifica-se uma significativa relação com a redução da atuação do Estado. São também apontados a existência de uma legislação inadequada, as facilidades oferecidas pelas parcerias estabelecidas, a imagem predominantemente positiva na sociedade, a falta de fiscalização e as crescentes demandas sociais do país destacam-se como possíveis indutores da expansão dessas organizações.

Gestão de carreiras na sociedade do conhecimento : uma análise de suas características no Brasil

This paper aims to identify the main characteristics undertaken by the brazilian non governmental organization (NGO's) and the political, social, economical and personal factors that have contributed for the impressive growth of these organizations which has been observed on the past two decades. The thesis defended herein is that these organizations were legitimated by the society, despite the lack of transparency that surrounds their practice. By acknowledging that the term has many meanings, and that there is no legal consolidated mark to delimit exactly what a NGO is, the research has adopted a very specific universe: the NGO's affiliated to the Associação Brasileira de Organizações Não-Governamentais (ABONG), located in Rio de Janeiro. The characteristics undertaken by the researched organizations were raised through interviews with its directors, visits to its headquarters and institutional documents that were made available. Mind makers of the Rio de Janeiro¿s society were also interviewed. The data research was also aided by the revision of the available literature. The Social Representation Theory was used in order to have a better understanding of the relationship that society has established with the NGO's. The thesis reveals that the characteristics undertaken by the NGO's are very different. In regards to the factors that have induced the growth of these organizations, we can notice a significant reduction of the States' acting. Also pointed out are the non existence of an adequate legislation, the facilities offered by the partnership established, the prevailing of a positive image for the society, the lack of inspection and the increasing social needs of the country which stand out as possible inductors of the expansion of these organizations.

A representação social de Republica no Exército brasileiro

A presente dissertação de mestrado versa sobre o significado de República no militar do Exército Brasileiro. Tal significado é buscado nas manifestações publicadas, no interior da corporação, nos dias 15 de novembro dos cem anos deste regime vigente no país. Delimita-se qual o objeto da Psicologia Social, e, para fundamentação da escolha do quadro de referência teórico, apresenta-se uma crítica aos modelos fundados no Positivismo e no Materialismo Histórico, para então se optar pela História das Mentalidades e pela Teoria das Representações Sociais. Utiliza-se as "Ordens do Dia" como material. Importa ressaltar que apresentam-se tais documentos num capitulo e não em anexos, para enfatizar que eles são a base desta dissertação. São considerados, não coadjuvantes, mas figuras centrais neste cenário. Faz-se uma análise destas "Ordens do Dia", privilegiando-se as ideias de ordem, progresso, segurança e desenvolvimento. Posteriormente é feita uma sobreposição das ideologias dentro do Exército que dominaram as conjunturas na estrutura republicana, com a representação social de República no Exército Brasileiro. Tal sobreposição corrobora o papel ativo da Representação Social.

Escola ativa como semeadora de sonhos nas turmas multianuais: representações das(os) professoras(es) da microrregião de Mossoró-RN.

The issue of multi-classes in schools from the field and methodology for these classes is controversial and contentious, both in terms of teaching, monitoring and organizational, is the perspective of values, training and systematization of public policy. Why the strategy Methodological Active School facing those classes appeared as a significant and exciting topic of research. Thus, it was aimed to apprehend the social representations of active school by teachers (s) to understand the extent to which these representations influence the acceptance and use of the program strategies. Perceiving and analyzing also the various factors related to the management, monitoring and training needs of (the) teachers as alternatives to make this meaningful action. The study focused 112 teachers (s), which for over a year, worked in the program in six municipalities in the micro-region of Rio Grande do Norte / RN - Areia Branca, Baraúna, Grossos, Mossoró, Serra do Mel and Tibau. From this perspective relied on Social Representation Theory and the Theory of the Central Core, attending to the subjectivity of the object searched, inserted in the psychosocial field of knowledge, we opted for multi-methodological approach, using quantitative and qualitative techniques. However, the highlight was a projective technique Free Association of Words from the term Active School is .... The words were systematized by EVOC program, and also applied semi-structured interviews, focusing specific issues that led to trace the socio-demographic profile of (the) participants and wider issues about the object of study. The evocations, justifications and interviews provided the basis for the analysis of the content that followed the steps: formation of the corpus, the composition of the analysis and categorization. The results show the representations an attitude of acceptance and positive appraisal of the participants to the Active School Program. At the core, these representations are objectified around the words "action", "learning", "autonomy" and "interaction". Based on the premise that the representations have a duty to guide the practices and behavior, one can see that the positive attitude of the group favors a systematic methodology and acceptance of the program, but we must look at the changes in management, training, monitoring of (the) teachers (s) and support to schools.

Inclusão e deficiência: em busca das representações sociais na mídia impressa em Natal/RN

This thesis is the result of an extensive research on print media discourse on the inclusion of disabled people in society. Articles published in the newspapers Diário de Natal/O Poti and Tribuna do Norte from 1992 to 2002 have been analyzed. Beginning with the very same questions that moved Moscovici (1978) in his classic study La Psychalyse son image et son public , according to which the media play a predominant role in the formation and propagation of social representations as well as in the construction of human behaviors, we have chosen this mass media as our investigation field. Understanding the importance of the communication theory, we intend to associate it to the social representation theory, since communication, as an aspiration, relates to the fundamentals of all humanity (WOLTON, 2004, p. 56). Moreover, means of communication represent an important space for symbolic production and representational process, allowing the analysis of the circulating discourses on social inclusion and disability. Based on these questions, we have determined social representations present in print media on the subject to be our study object. This objective was elected due to the fact that the thematic of disability and inclusion is scarcely and sporadically found in journalistic speech. The research questions have been: which is the representation of disabled people s condition in print media? What changes have occurred during the analyzed period and which was the role played by print media in this process? The research corpus was composed of newspaper articles about various aspects concerning disability and of free word association by reporters. We have analysed: 1) graphical language promoted by the picture of the substances propagated in the period from 1992 a 2002; 2) free word association experiments carried out with reporters of both newspapers; and 3) texts published from 1996 to 1997 using the high-tech program ALCESTE (Contextual Lexical Analysis of a Set of Segments of Texts). The results revealed that the print media in Natal/RN refer to the topic in a discontinuous way, and depend on specific events to highlight disabled people s fight for their rights. Social inclusion is still a great challenge for these people in all levels. We believe that this incapacity to overcome all kinds of obstacles is established in a dialectic relation between society and the media: society remains silent (the manifestation of interest for the cause only attracts some people s or groups attention) and the media, which selects which information is to be broadcasted, gives no evidence to the issue. This representation may be noticed in the infrequency in which articles about the subject are published, as well as in the emphasis to sports, a more important issue for the media. An implication of this study is that a new perspective is opened for analysis and reflection: the Paralympics games as both an inclusive and a segregating social phenomenon. It would be beautiful to have all of us together!

Metafísica e moralidade na filosofia de Schopenhauer

This work posits a mutual implication between metaphysics and morality in the philosophy of Schopenhauer and seeks to clarify the many nuances that take place in this relation. Each chapter offers a perspective in which the relation between metaphysics and morality can be addressed. Thus, by exposing some important aspects of representation theory of Schopenhauer, we try, in the first chapter, explain the relationship between his idealism and his conception of morality; in the second chapter, the determinism present both in nature and in moral actions, determinism that establishes the relationship between morality and metaphysics through the very notion of a metaphysical nature; in the third chapter, relationship between metaphysics and morality that takes place through the notion of freedom as denial of the previous determinism, freedom possible to the genius, to the saint and to the ascetic. All of these perspectives, however, presuppose the distinction between phenomenon and thing-initself, figuring this distinction as crucial in building of this metaphysic that seeks to protect the moral significance of the world while denying the existence of God

O planejamento turístico e o comércio ambulante : uma análise à luz da teoria das representações sociais

The Social Representation Theory provides subsidies to scientifically analyze what is called common sense, suggesting that thought be given credibility to the individual, from the assignment of logic to it. The Representations allow us to interpret, understand, explain and thus classify information, events and people. In this sense, this study aimed to analyze how social representations of the actors of the intinerant traders who operate in Ponta Negra/RN can be used as an element for tourism planning. To achieve the desired goals, we conducted a qualitative study, from a descriptive study, using methods of data collection the research literature, the technique of free association of words and the questionnaire, applied with 90 intinerant traders who work in Ponta Negra/RN beach. As tools of data analysis were used to analyze literature, and software EVOC and SPHINX. This research has revealed the predominance of people in itinerant male, between 18 and 28 years, with incomplete primary education, no contributors of Previdência Social and working seven days a week. The core elements of representations brings that explain that their knowledge is guided by collectively shared knowledge in the culture of tourism, which is seen as something that brings economics benefits (money) to the society, from the travel and entertainment. The plan represents the forward thinking, based on development plans that seek improvements and organization. The structure and operation of tourism planning in Natal/RN, there were no representation of intinerant traders. It is concluded that understanding the needs of itinerant traders provides grants to developing strategies for the development of tourism. This is achieved from its inclusion in tourism planning, since it enables tourism managers to understand how they are capturing, interpreting and acting on their next reality, since these representations are fundamental in forming opinions and the establishment of individual attitudes and collective. Thus, it is an important theory to be used to subsidize social research with individuals living reality and local needs, but which is the margin of decision-making processes of economic in the Brazil