Classification of Harish-Chandra modules over the W-algebra W(2,2)

2008/01/17 by Liu, Dong, Zhu, Linsheng
#17B10 #17B65 #17B68 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0801.2601

Abstract

In this paper, we classify all irreducible weight modules with finite dimensional weight spaces over the W-algebra W(2, 2). Meanwhile, all indecomposable modules with one dimensional weight spaces over the W-algebra W(2, 2) are also determined.

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• Classification of Irreducible Weight Modules with a Finite-dimensional Weight Space over the Twisted Schrödinger-Virasoro Lie algebra
• Classification of simple Harish-Chandra modules over the generalized Witt algebras