Classical Verma Modules
Mostrando 1-3 de 3 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. A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
The classical Rogers-Ramanujan identities have been interpreted by Lepowsky-Milne and the present authors in terms of the representation theory of the Euclidean Kac-Moody Lie algebra A1(1). Also, the present authors have introduced certain “vertex” differential operators providing a construction of A1(1) on its basic module, and Kac, Kazhdan, and we have
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3. Hilbert series, Howe duality, and branching rules
Let λ be a partition, with l parts, and let Fλ be the irreducible finite dimensional representation of GL(m) associated to λ when l ≤ m. The Littlewood Restriction Rule describes how Fλ decomposes when restricted to the orthogonal group O(m) or to the symplectic group Sp(m/2) under the condition that l ≤ m/2. In this paper, this result is extended to
The National Academy of Sciences.