Zuckerman functors for Lie superalgebras

• Tipo: Artigo em Revista Científica Internacional
• Data: 1999

Autores

Santos, JCDO (Autor) FCUP

Revista

Título: Journal of Lie Theory

Vol. 9

Páginas: 69-112

ISSN: 0949-5932

Editora: HELDERMANN VERLAG

Indexação

ISI Web of Knowledge - 5 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-001-5WQ

Abstract (EN): Let g be a basic classical Lie superalgebra. The aim of this article is the study of certain g-modules obtained by a method called homological induction. It is proved that the finite-dimensional typical modules can be obtained in this way and the Weyl-Kac character formula is deduced. It is also proved that the vector space spanned by the polynomial functions defined on a Cartan subalgebra h of g by H --> str(p(H-m)), where m epsilon N and rho is a finite-dimensional representation of g, contains all polynomials functions invariant under the Weyl group which are multiples of every isotropic root.

Idioma: Francês

Tipo (Avaliação Docente): Científica

Nº de páginas: 44