Certain categories of modules for twisted affine Lie algebras

Abstract

In this paper, using generating functions, we study two categories [graphic not available: see fulltext] and [graphic not available: see fulltext] of modules for twisted affine Lie algebras [graphic not available: see fulltext], which were firstly introduced and studied for untwisted affine Lie algebras by H. -S. Li [Math Z, 2004, 248: 635–664]. We classify integrable irreducible [graphic not available: see fulltext]-modules in categories [graphic not available: see fulltext] and [graphic not available: see fulltext], where [graphic not available: see fulltext] is proved to contain the well-known evaluation modules and [graphic not available: see fulltext] to unify highest weight modules, evaluation modules and their tensor product modules. We determine also the isomorphism classes of those irreducible modules.

Keywords

Twisted affine Lie algebra / module / category

References

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