Journal
COMMUNICATIONS IN ALGEBRA
Volume 44, Issue 11, Pages 4794-4810Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/00927872.2015.1113292
Keywords
Affine Lie algebras; Intersection matrix algebras; Irreducible modules; Quotient algebras
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Funding
- NSERC of Canada
- NNSF of China [11271131]
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In this paper, the authors study a class of generalized intersection matrix Lie algebras gim(M-n), and prove that its every finite- dimensional semisimple quotient is of type M(n, a, c, d). Particularly, any finite dimensional irreducible gim(M-n) 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 (M-n).
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