On Clifford subalgebras, spacetime splittings and applications

Z(2)-gradings of Clifford algebras are reviewed and we shall be concerned with an alpha-grading based on the structure of inner automorphisms, which is closely related to the spacetime splitting, if we consider the standard conjugation map automorphism by an arbitrary, but fixed, splitting vector. After briefly sketching the orthogonal and parallel components of products of differential forms, where we introduce the parallel [orthogonal] part as the space [time] component, we provide a detailed exposition of the Dirac operator splitting and we show how the differential operator parallel and orthogonal components are related to the Lie derivative along the splitting vector and the angular momentum splitting bivector. We also introduce multivectorial-induced alpha-gradings and present the Dirac equation in terms of the spacetime splitting, where the Dirac spinor field is shown to be a direct sum of two quaternions. We point out some possible physical applications of the formalism developed.

Increased Levels of NOTCH1, NF-kappa B, and Other Interconnected Transcription Factors Characterize Primitive Sets of Hematopoietic Stem Cells

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Reproductive biology in the primitive relic Angiosperm Drimys brasiliensis (Winteraceae)

From field observations on Drimys brasiliensis, principally in the Botucatu region of São Paulo State, Brazil, new data on the reproductive biology, the rhythm of growth, and the development of lateral cymose inflorescences, flowers and fruits are presented. Pollination accelerates the rate of flower-development for about 4-6 days. Pollination experiments show that D. brasiliensis is not self-sterile; because of mechanical devices the sticky pollen grains do not normally come into contact with the stigmata unless an animal pollen vector is involved. The pollinators are diurnal Coleoptera, Diptera and Thysanoptera which eat from the pollen, lick from the stigmatic exudates and (in case of the flies) probably also from the staminal glands. Fruit- and seedeaters are birds which seem to be the main dispersal agents. Establishment of new individuals normally is through seedlings, but also by vegetative propagation through plagiotropous branches which may root and separate from the mother plant. The morphological, developmental and reproductive aspects in D. brasiliensis are discussed in a wider context, compared with data from other Magnoliidae, and related to aspects of early Angiosperm evolution. © 1980 Springer-Verlag.

Histochemical characterization and secretory activity of the hypopharyngeal glands in the primitive social wasp Polistes versicolor (Hymenoptera: Vespidae)

Using histochemical techniques, the present work describes the basic histochemical characteristics of the secretion in hypopharyngeal glands of Polistes versicolor (Olivier) and estimates the secretory activity in specimens of different ages. The secretory activity was determined by glandular cell diameter and by the amount of secretion present in the glands. The results did not reveal a relationship between these parameters and the age of the wasps, not allowing us to determine the development cycle of these glands throughout the wasps' life. Also, a relationship between glandular cell diameter and amount of secretion present in the glands was not observed.

The triple near-Earth asteroid (153591) 2001 SN263: an ultra-blue, primitive target for the Aster space mission

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

The genomes of two key bumblebee species with primitive eusocial organization

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Pervasive Algebras and Maximal Subalgebras.

A uniform algebra A on its Shilov boundary X is maximal if A is not C(X) and no uniform algebra is strictly contained between A and C(X) . It is essentially pervasive if A is dense in C(F) whenever F is a proper closed subset of the essential set of A. If A is maximal, then it is essentially pervasive and proper. We explore the gap between these two concepts. We show: (1) If A is pervasive and proper, and has a nonconstant unimodular element, then A contains an infinite descending chain of pervasive subalgebras on X . (2) It is possible to find a compact Hausdorff space X such that there is an isomorphic copy of the lattice of all subsets of N in the family of pervasive subalgebras of C(X). (3) In the other direction, if A is strongly logmodular, proper and pervasive, then it is maximal. (4) This fails if the word “strongly” is removed. We discuss examples involving Dirichlet algebras, A(U) algebras, Douglas algebras, and subalgebras of H∞(D), and develop new results that relate pervasiveness, maximality, and relative maximality to support sets of representing measures.

Can Developing Women Create Primitive Art? and Other Questions of Value, Meaning and Identity in the Circulation of Janakpur Art

In this article, I examine the values and meanings that adhere to objects made by Maithil women at a development project in Janakpur, Nepal – objects collectors have called ‘Janakpur Art’. I seek to explain how and why changes in pictorial content in Janakpur Art – shifts that took place over a period of five or six years in the 1990s – occurred, and what such a change might indicate about the link between Maithil women’s lives, development, and tourism. As I will demonstrate, part of the appeal for consumers of Janakpur Art has been that it is produced at a ‘women’s development project’ seeking to empower its participants. And yet, the project’s very successes threaten to displace the producers (and what they produce) from their perceived qualities/identities as ‘traditional’ and ‘primitive,’ thereby bringing into question the authenticity of the ‘art’ they produce. The conundrum begs this question: can developing women produce primitive art?

In pediatric lymphoblastic leukemia of B-cell origin, a small population of primitive blast cells is noncycling, suggesting them to be leukemia stem cell candidates

Kinetic investigations in pediatric acute lymphoblastic leukemia (ALL) are based on all blast cells and, therefore, reflect the proliferative characteristics of the predominant immunophenotype of leukemic cells. Nothing is known about proliferation of immunologically defined rare subpopulations of leukemic cells. In this study, mononuclear cells from the bone marrow of 15 children with untreated CD19 B-cell precursor ALL were examined for proliferative features according to the immunophenotype. After exclusion of highly proliferating residual normal hematopoietic cells, ∼ 3% of blast cells were CD19 and showed a low percentage of cells in S-phase assessed by the bromodeoxyuridine labeling index (BrdU-LI): median BrdU-LI, 0.19% [interquartile range (IQR), 0.15-0.40%]. In contrast, a median BrdU-LI of 7.2% (IQR, 5.7-8.8%) was found for the major CD19 blast cell compartment. Staining smears of sorted CD19 cells for CD10 or CD34 revealed a small fraction of CD19CD10 or CD19CD34 blast cells. These cells were almost nonproliferating with a median BrdU-LI of <0.1% (IQR, 0-0.2%). This proliferative behavior is suggestive of a stem/progenitor cell function and, in addition, the low proliferative activity might render them more resistant to an antiproliferation-based chemotherapy. However, xenotransplantation experiments will be necessary to demonstrate a possible stem cell function.