arXiv:math/0510194 Abstract

arXiv:math/0510194 [math.RT]Abstract References Reviews Resources

Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra

Published 2005-10-10Version 1

In this paper, all irreducible weight modules with finite dimensional weight spaces over the twisted Heisenberg-Virasoro algebra are determined. There are two different classes of them. One class is formed by simple modules of intermediate series, whose weight spaces are all 1-dimensional; the other class consists of the irreducible highest weight modules and lowest weight modules.

Comments: 23 pages

Journal: Communications in Contemporary Mathematics, Vol.12, No.2, 183-205(2010)

Categories: math.RT

Subjects: 17B10, 17B65, 17B68

Keywords: twisted heisenberg-virasoro algebra, irreducible weight modules, classification, finite dimensional weight spaces, irreducible highest weight modules

Tags: journal article

Related articles: Most relevant | Search more

arXiv:math/0308133 [math.RT] (Published 2003-08-14, updated 2005-08-31)

Classification of irreducible weight modules over higher rank Virasoro algebras

Rencai Lu, Kaiming Zhao

arXiv:0801.2601 [math.RT] (Published 2008-01-17, updated 2008-01-18)

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