Certain categories of modules for twisted affine Lie algebras |
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| Authors: | Yongcun Gao Jiayuan Fu |
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| Affiliation: | School of Science, Communication University of China, Beijing 100024, China |
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| Abstract: | ![]()
In this paper, using generating functions, we study two categories ? and ? of modules for twisted affine Lie algebras g^[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 g^[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. |
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| Keywords: | Twisted affine Lie algebra module category |
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