Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 4: 731 - 744

DOI: https://doi.org/10.1007/s11464-011-0121-1

RESEARCH ARTICLE

Whittaker modules for a Lie algebra of Block type

  • Bin WANG 1 ,
  • Xinyun ZHU , 2
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  • 1. Department of Mathematics, Changshu Institute of Technology, Changshu 215500, China
  • 2. Department of Mathematics, University of Texas of the Permian Basin, Odessa, TX79762, USA

Received date: 06 Sep 2010

Accepted date: 16 Mar 2011

Published date: 01 Aug 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

In this paper, we study Whittaker modules for a Lie algebra of Block type. We define Whittaker modules and under some conditions, obtain a bijective correspondence between the set of isomorphism classes of Whittaker modules over this algebra and the set of ideals of a polynomial ring, parallel to a result from the classical setting and the case of the Virasoro algebra.

Key words： Whittaker module; Whittaker vector

Cite this article

Bin WANG , Xinyun ZHU . Whittaker modules for a Lie algebra of Block type[J]. Frontiers of Mathematics in China, 2011 , 6(4) : 731 -744 . DOI: 10.1007/s11464-011-0121-1

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