Finite-dimensional representations for a class of generalized intersection matrix Lie algebras
Gao, Yun · Xia, Li-meng
Original · EN
In this paper, we study a class of generalized intersection matrix Lie algebras (Mₙ), and prove that its every finite-dimensional semi-simple quotient is of type M(n, a, c, d). Particularly, any finite dimensional irreducible (Mₙ) module must be an irreducible module of M(n, a, c, d) and any finite dimensional irreducible M(n, a, c, d) module must be an irreducible module of (Mₙ).
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