Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 4: 745 - 758

DOI: https://doi.org/10.1007/s11464-011-0101-5

RESEARCH ARTICLE

Second cohomology group of extended W-algebras

  • Wei WANG , 1,2 ,
  • Yongping WU 3 ,
  • Chunguang XIA 1
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  • 1. Wu Wen-Tsun Key Laboratory of Mathematics, University of Science and Technology of China, Hefei 230026, China
  • 2. School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China
  • 3. School of Mathematics and Computer Science, Longyan University, Longyan 364000, China

Received date: 04 May 2010

Accepted date: 23 Dec 2010

Published date: 01 Aug 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

Let F be a field of characteristic 0, and let G be an additive subgroup of F. We define a class of infinite-dimensional Lie algebras W with an F-basis {Lμ,Vμ,Wμ|μ∈G}, which are very closely related to W-algebras. In this paper, the second cohomology group of W is determined.

Key words： W-algebra; second cohomology group; central extension

Cite this article

Wei WANG , Yongping WU , Chunguang XIA . Second cohomology group of extended W-algebras[J]. Frontiers of Mathematics in China, 2011 , 6(4) : 745 -758 . DOI: 10.1007/s11464-011-0101-5

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