Weight modules over exp-polynomial Lie algebras

By Yuly Billig, Kaiming Zhao. 2003

87 citations recorded by the source corpus.

Abstract In this paper, we generalize a result by Berman and Billig on weight modules over Lie algebras with polynomial multiplication. More precisely, we show that a highest weight module with an exp-polynomial “highest weight” over an exp-polynomial Lie algebra has finite dimensional weight spaces. We also get a class of irreducible weight modules with finite dimensional weight spaces over generalized Virasoro algebras which do not occur over the classical Virasoro algebra.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f4392e35d5d78a20825e7510941ffc8769ce9cc8

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In Algebra and Number Theory

1. Xiangqian Guo
2. R. Lu
3. Kaiming Zhao

In Geometry and Topology

1. Xiangqian Guo
2. R. Lu
3. Kaiming Zhao

In Statistical and Nonlinear Physics

1. Xiangqian Guo
2. R. Lu
3. Kaiming Zhao

Citations in the corpus

• Simple Harish-Chandra modules, intermediate series modules, and Verma modules over the loop-Virasoro algebra (2010, background): “Let us recall exp-polynomial functions defined in [3].”