Representations Of Algebras
Mostrando 1-12 de 21 artigos, teses e dissertações.
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1. Vertex structures in representation theory of Lie algebras / Estruturas de Vertex em teoria de representações de álgebras de Lie
Following the results of [BBFK11], our work starts analyzing (for bsl(n;C)) if we can obtain J-imaginary Verma modules using similar representations used by Cox in [Cox05]. We did it for n = 2 and after, for the general case. The next step was the study of J-intermediate Wakimoto modules, following the ideas of [CF04] and [CF05]. To finish, for affine sl(2;C
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 04/05/2012
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2. Ações de grupos e identidades para a álgebra de Lie simples sl2(C) / Group actions and identities for the simple Lie algebra sl2(C)
Seja G um grupo finito que age fielmente sobre a álgebra das matrizes de ordem dois...Observação: O resumo, na íntegra, poderá ser visualizado no texto completo da tese digital.
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 23/03/2012
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3. Representações de hiperálgebras de laços e álgebras de multi-correntes / Representations of hyper loop algebras and multi curret algebras
Este trabalho é dedicado ao estudo de alguns assuntos da teoria de representações de certas álgebras que podem ser vistas como generalizações do conceito de álgebras de Kac-Moody am. De modo geral, o trabalho é dividido em duas partes: na primeira delas, abordamos questões sobre as representações de dimensão finita das hiperálgebras de laços to
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 16/03/2012
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4. Álgebras bisseriais especiais / Special biserial algebras
Special biserial algebras are a class of algebras that appear in many contexts. Butler and Ringel [6] made a description of indecomposable modules and irreducible morphisms of algebras string, a subclass of special biserial algebras. We show that special biserial algebras which are not string, have only one module projective-injective indecomposable for each
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 27/02/2012
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5. ENVOLVENTES PARA AC ~OES PARCIAIS DE GRUPOS E DE ALGEBRAS DE HOPF / ENVELOPING FOR PARTIAL ACTIONS OF GROUPS AND HOPF ALGEBRAS
Baseados nos artigos Associativity of crossed produts by partial actions, enveloping actions and partial representations" de M. Dokuchaev e R. Exel ([7]) e Enveloping Actions for Partial Hopf Actions" de M.M.S. Alves e E. Batista ([3]), estabeleceremos condições para a existência de envolventes para ações parciais de grupo e ações parciais de algebras
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 01/02/2012
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6. Formas quadrÃticas sobre corpos, Ãlgebras com divisÃo e Ãlgebras de Clifford
In this dissertation we treat some aspects of the theory of quadratic forms over a field, algebras with division and simple central algebras. Important objects here studied are the Wittâs ring, the Brauerâs group, the Cliffordâs algebras and the Wedderburnâs theorem over the structure of simple central algebras. These theories are deeply linked together
Publicado em: 2008
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7. Geometric invariant theory and representations of quivers / Teoria geometrica dos invariantes e representações de quivers
This thesis is divided into two parts. ln the first part we present the main ideas and tools of Geometric lnvariant Theory, which is concerned with the following problem: ls it possible to give an algebraic structure to the quotient of an algebraic variety by the action of an algebraic group? Qne of the most important results says that an algebraic quotient
Publicado em: 2006
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8. RENDALLNULLS THEOREMS AND THE UNIQUE DETERMINATION OF THE INNER PRODUCT IN REPRESENTATION OF ALGEBRAS / TEOREMAS DE RENDALL E A UNICIDADE DO PRODUTO INTERNO EM REPRESENTAÇÕES DE ÁLGEBRAS
This thesis is concerned with a paper from Alan D. Rendall named Unique determination of an inner product by adjointness relations in the algebra of quantum observables, in which is proved that given a *- representation of a *-algebra in a pre-Hilbert space V irreducible with regard to the inner product defined in V we can assure the uniqueness of the inner
Publicado em: 2004
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9. Identidades polinomiais em algebras
The subject of this dissertation is the theory of algebras with poIynomial identities. The text introduces the tirst detinitions that are needed to study this theory, as weIl as some of the most important results that appeared in the Iast decades. We present minimaI identities of matriciaI aIgebras (Theorem of Amitsur-Levitzki). Moreover, we prove that the t
Publicado em: 1999
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10. Algebraic methods in molecular science / Métodos algébricos em ciências moleculares
The vibrational spectrum of monofluoroacetylene (HCCF) and of monochloroacetylene (HCCCl) are calculated by means of algebraic techniques under the hypothesis that they result from a U(4) symmetry through the chain U(4) symmetry through the chain U(4) ⊃ O(4) ⊃ O(3). The results are compared with the 170 experimentally available vibrational lines
Publicado em: 1997
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11. Algebras de Clifford, transformações de Lorentz e o movimento de particulas carregadas
The main result presented in this thesis is a finite form (the MASTER equation) for the series of exponentials of infinitesimal generators of the Lorentz group. Explicitly, the exponential of a generator appears written by means of the first powers of the generators, in the SL(2,C) and SO(1,3) representations of the Lorentz group, multiplied by elementary fu
Publicado em: 1992
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12. Spinor representations of affine Lie algebras
Let [unk] be an infinite-dimensional Kac-Moody Lie algebra of one of the types Dl+1(2), Bl(1), or Dl(1). These algebras are characterized by the property that an elimination of any endpoint of their Dynkin diagrams gives diagrams of types Bl or Dl of classical orthogonal Lie algebras. We construct two representations of a Lie algebra [unk], which we call spi