V型Heisenberg Virasoro代数

  • 刘学文 ,
  • 郭向前
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  • 郑州大学数学系,河南,郑州,450001

网络出版日期: 2010-03-25

基金资助

河北省自然科学基金

Heisenberg Virasoro Algebras of V Type

  • LIU Xue-wen ,
  • GUO Xiang-qian
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Online published: 2010-03-25

摘要

引入了V型Heisenberg Virasoro代数的概念,它是Heisenberg Virasoro代数的一种自然推广,确定了V型Heisenberg Virasoro代数的具体结构.

本文引用格式

刘学文 , 郭向前 . V型Heisenberg Virasoro代数[J]. 河北大学学报(自然科学版), 2010 , 30(2) : 116 -119,122 . DOI: 10.3969/j.issn.1000-1565.2010.02.002

Abstract

The author introduce the concept of Heisenberg Virasoro algebras of V type, which can be viewed as the universal central extension of the semidirect Lie algebras of the Virasoro algebra and one of its modules of intermediate series. This algebra is the natural generalization of the Heisenberg Virasoro algebra. The structures of these algebras are determined.

参考文献

[1] MATHIEU O. Classification of Harish-Chandra modules over the Virasoro algebra [J]. Inventiones Mathematicae 1992, 107.
[2] ARBARELLO E, CONCINI C D, KAC V G. Moduli spaces of curves and representation theory [J]. Communications in Mathematical Physics 1998, 117(01).
[3] Yuly Billig. Representations of the Twisted Heisenberg-Virasoro Algebra at Level Zero [J]. Canadian Mathematical Bulletin 2003, 4(4).
[4] KAC V G, RAINA K A. Bombay lectures on highest weight representations of infinite dimensional Lie algebras [M]. Singapore, World Sci 1987.
[5] Punita Batra, Xiangqian Guo, Rencai Lu, Kaiming Zhao. Highest weight modules over pre-exp-polynomial Lie algebras [J]. Journal of Algebra 2009, 12(12).
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