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math.QA2024
Whittaker modules and hyperbolic Toda lattices
Limeng Xia
Let $\sg$ be a complex finite-dimensional simple Lie algebra and let $\sg_l$ be the corresponding generalized Takiff algebra. This paper studies the affine variety $\ssf+\sb_l$ whe…
math.QA2014★ 3 cited
A class of Lie algebras arising from intersection matrices
Li-meng Xia, Naihong Hu
In present work, we find a class of Lie algebras, which are defined from the symmetrizable generalized intersection matrices. However, such algebras are different from generalized…
math.QA2014★ 1 cited
Finite-dimensional representations for a class of generalized intersection matrix Lie algebras
Yun Gao, Li-meng Xia
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…