Representation Of Algebras
Mostrando 1-12 de 20 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. Álgebras de Clifford e a fibração de Hopf / Clifford algebras and the Hopf fibration
Spin groups come in many forms in Mathematics and Mathematical Physics, having great importance in the theory of fiber bundles and differential operators defined on them. The concept of spin structure is derived from them, being the basis of all a theory, known as spin geometry. This thesis introduces the first concepts necessary for the study of such groups
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 29/02/2012
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3. 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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4. Álgebras de cluster e teoria de representações / Cluster algebras and representation theory
Na presente dissertação estudamos dois exemplos de relacionamento da teoria de álgebras de cluster com teoria de representações. A saber, estudamos os principais resultados dos artigos [5, 26]. O primeiro é uma relação entre álgebras de cluster e representações de certos quivers com relações que também estão relacionadas com triangulações de
Publicado em: 2011
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5. Álgebras de Koszul e resoluções projetivas / Koszul algebras and projetive resolutions
Neste trabalho estudamos algumas características das álgebras de Koszul, como por exemplo, a maneira como elas se relacionam com suas respectivas álgebras de Yoneda. Descrevemos a álgebra de Yoneda de uma álgebra monomial e como aplicação construímos uma família de álgebras: as chamadas homologicamente auto-duais. Uma álgebra de Koszul pode ser de
Publicado em: 2009
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6. O caráter de Chern-Connes para C*-sistemas dinâmicos calculado em algumas álgebras de operadores pseudodiferenciais / The C*-dynamical system Chern-Connes character computed in some pseudodifferential operators algebras
Given a C$^*$-dynamical system $(A, G, \alpha)$ one defines a homomorphism, called the Chern-Connes character, that take an element in $K_0(A) \oplus K_1(A)$, the K-theory groups of the C$^*$-algebra $A$, and maps it into $H_{\mathbb}^*(G)$, the real deRham cohomology ring of $G$. We explictly compute this homomorphism for the examples $(\overline{\Psi_^0(S^
Publicado em: 2008
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7. The Interval Constructor on classes of ML-algebras
Monoidal logic, ML for short, which formalized the fuzzy logics of continuous t-norms and their residua, has arisen great interest, since it has been applied to fuzzy mathematics, artificial intelligence, and other areas. It is clear that fuzzy logics basically try to represent imperfect or fuzzy information aiming to model the natural human reasoning. On th
Publicado em: 2008
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8. Identidades polinomiais para a algebra das matrizes de ordem dois sobre corpos de caracteristica zero / Polynomial identities of the matrix algebra of order two over a field of characteristic zero
Esta dissertação introduz as primeiras noções para o estudo da teoria de álgebras que satisfazem identidades polinomiais (chamadas PI - álgebras), bem como alguns resultados importantes. Expomos alguns fatos e resultados fundamentais sobre representações dos grupos simétricos e geral linear. Estes resultados serão posteriormente utilizados para est
Publicado em: 2006
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9. 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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10. 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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11. 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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12. Vertex representations of quantum affine algebras
We construct vertex representations of quantum affine algebras of ADE type, which were first introduced in greater generality by Drinfeld and Jimbo. The limiting special case of our construction is the untwisted vertex representation of affine Lie algebras of Frenkel-Kac and Segal. Our representation is given by means of a new type of vertex operator corresp