Finite-dimensional Representations for a Class of Generalized Intersection Matrix Lie Algebras |
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Authors: | Yun Gao |
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Institution: | Department of Mathematics and Statistics, York University, Toronto, Canada |
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Abstract: | In this paper, the authors study a class of generalized intersection matrix Lie algebras gim(Mn), and prove that its every finite-dimensional semisimple quotient is of type M(n, a, c, d). Particularly, any finite dimensional irreducible gim(Mn) module must be an irreducible module of Lie algebra of type M(n, a, c, d) and any finite dimensional irreducible module of Lie algebra of type M(n, a, c, d) must be an irreducible module of gim(Mn). |
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Keywords: | Affine Lie algebras Intersection matrix algebras Irreducible modules Quotient algebras |
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