Frontiers of Mathematics in China >
Certain categories of modules for twisted affine Lie algebras
Received date: 14 Apr 2011
Accepted date: 20 Feb 2012
Published date: 01 Dec 2012
Copyright
In this paper, using generating functions, we study two categories and of modules for twisted affine Lie algebras [σ], 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 [σ]-modules in categories and , where is proved to contain the well-known evaluation modules and to unify highest weight modules, evaluation modules and their tensor product modules. We determine also the isomorphism classes of those irreducible modules.
Key words： Twisted affine Lie algebra; module; category
Yongcun GAO , Jiayuan FU . Certain categories of modules for twisted affine Lie algebras[J]. Frontiers of Mathematics in China, 2012 , 7(6) : 1073 -1093 . DOI: 10.1007/s11464-012-0203-8
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