Modules for double affine Lie algebras |
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| Authors: | Naihuan Jing Chunhua Wang |
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| Affiliation: | 1. School of Mathematics, South China University of Technology, Guangzhou 510640, China2. Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA |
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| Abstract: | Imaginary Verma modules, parabolic imaginary Verma modules,and Verma modules at level zero for double affine Lie algebras are constructed using three different triangular decompositions. Their relations are investigated,and several results are generalized from the affine Lie algebras. In particular,imaginary highest weight modules, integrable modules, and irreducibility criterion are also studied. |
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| Keywords: | Double affine Lie algebra Verma module irreducibility Weylmodule |
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