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Finite-dimensional representations for a class of generalized intersection matrix Lie algebras

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 Added by Li-meng Xia
 Publication date 2014
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and research's language is English




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In this paper, we study a class of generalized intersection matrix Lie algebras $gim(M_n)$, and prove that its every finite-dimensional semi-simple quotient is of type $M(n,{bf a}, {bf c},{bf d})$. Particularly, any finite dimensional irreducible $gim(M_n)$ module must be an irreducible module of $M(n,{bf a}, {bf c},{bf d})$ and any finite dimensional irreducible $M(n,{bf a}, {bf c},{bf d})$ module must be an irreducible module of $gim(M_n)$.



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