Exponents of Subvarieties of Upper Triangular Matrices over Arbitrary Fields are Integral

Partially supported by grant RFFI 98-01-01020.

The Variety of Leibniz Algebras Defined by the Identity x(y(zt)) ≡ 0

2000 Mathematics Subject Classification: Primary: 17A32; Secondary: 16R10, 16P99, 17B01, 17B30, 20C30

q-Leibniz Algebras

2000 Mathematics Subject Classification: Primary 17A32, Secondary 17D25.

Free Bicommutative Algebras

2000 Mathematics Subject Classification: Primary 17A50, Secondary 16R10, 17A30, 17D25, 17C50.

A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it

In this work, we present a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type s(x)y"n(x) + t(x)y'n(x) - lnyn(x) = 0 and show that all the three classical orthogonal polynomial families as well as three finite orthogonal polynomial families, extracted from this equation, can be identified as special cases of this derived polynomial sequence. Some general properties of this sequence are also given.

Television and narratives: cultural identities in globalization age

This paper describes a current research integrated in an international and interdisciplinary project and developed in a global environment between two different tendencies: integration and desintegration. In this scenary, television narrative arises as an essential tool to create and consolidate new cultural identities in order to get a popular narrative on the concept of nation.

Direct Computation of Operational Matrices for Polynomial Bases

Several numerical methods for boundary value problems use integral and differential operational matrices, expressed in polynomial bases in a Hilbert space of functions. This work presents a sequence of matrix operations allowing a direct computation of operational matrices for polynomial bases, orthogonal or not, starting with any previously known reference matrix. Furthermore, it shows how to obtain the reference matrix for a chosen polynomial base. The results presented here can be applied not only for integration and differentiation, but also for any linear operation.

Transforming Youth Identities: Interactions Across ""Races/Colors/Ethnicities,"" Gender, Class, and Sexualities in Johannesburg, South Africa

In South Africa, and especially in Johannesburg, apartheid's ""racial"" paradigms are being transformed. Fifteen years after the end of apartheid and the elimination of all forms of inequity based on notion of ""race,"" including the abolition of the Immorality Act of 1949 that prohibited mixed marriages, the discourses of youth challenge preestablished boundaries. Today, the South African Constitution gives people the right to proclaim their sexual orientation and to shape their own identities. Through ethnographic observations carried out in Johannesburg and in-depth interviews with young people, this paper explores transforming notions of identity based on ""race/color/ethnicity,"" gender, class, and sexuality. The dynamics and challenges faced by young people with regards to mixed interactions in post-apartheid Johannesburg are analyzed and the paper looks at how "" race,"" gender, and sexuality interact in the various spaces in Johannesburg and how they affect young people's lives, particularly their perceptions of risk, violence, and HIV/AIDS vulnerability.

Slavnov-Taylor identities for the 2+1 dimensional noncommutative CPN-1 model

In the context of the 1/N expansion, the validity of the Slavnov-Taylor identity relating three- and two-point functions for the 2 + 1-dimensional noncommutative CP(N-1) model is investigated, up to subleading 1/N order, in the Landau gauge.

Slavnov-Taylor identities for noncommutative QED(4)

In this work we present an analysis of the one-loop Slavnov-Taylor identities in noncommutative QED(4). The vectorial fermion-photon and the triple photon vertex functions were studied, with the conclusion that no anomalies arise.

Higher charges and regularized quantum trace identities in su(1,1) Landau-Lifshitz model

We solve the operator ordering problem for the quantum continuous integrable su(1,1) Landau-Lifshitz model, and give a prescription to obtain the quantum trace identities, and the spectrum for the higher-order local charges. We also show that this method, based on operator regularization and renormalization, which guarantees quantum integrability, as well as the construction of self-adjoint extensions, can be used as an alternative to the discretization procedure, and unlike the latter, is based only on integrable representations. (C) 2010 American Institute of Physics. [doi:10.1063/1.3509374]

On the threshold of forgetting: Amnesiac identities and the Brazilian capital

Centuries after Locke asserted the importance of memory to identity, Freudian psychology argued that what was forgotten was of equal importance as to what was remembered. The closing decades of the nineteenth century saw a rising interest in the nature of forgetting, resulting in a reassessment and newfound distrust of the long revered faculty of memory. The relationship between memory and identity was inverted, seeing forgetting also become a means for forging identity. This newfound distrust of memory manifested in the writings of Nietzsche who in 1874 called for society to learn to feel unhistorically and distance itself from the past - in what was essentially tantamount to a cultural forgetting. Following the Nietzschean call, the architecture of Modernism was also compelled by the need to 'overcome' the limits imposed by history. This paper examines notions of identity through the shifting boundaries of remembering and forgetting, with particular reference to the construction of Brazilian identity through the ‘repression’ of history and memory in the design of the Brazilian capital. Designed as a forward-looking modernist utopia, transcending the limits imposed by the country's colonial heritage, the design for Brasilia exploited the anti-historicist agenda of modernism to emancipate the country from cultural and political associations with the Portuguese Empire. This paper examines the relationship between place, memory and forgetting through a discussion of the design for Brasilia.