Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 4: 775 - 788

DOI: https://doi.org/10.1007/s11464-011-0133-x

RESEARCH ARTICLE

Support varieties of semisimple-character representations for Cartan type Lie algebras

  • Yufeng YAO , 1 ,
  • Bin SHU 2
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  • 1. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China
  • 2. Department of Mathematics, East China Normal University, Shanghai 200241, China

Received date: 29 Jun 2010

Accepted date: 29 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 the support varieties for Lie algebras L of Cartan type. We give some description for the support varieties of any finitedimensional L-module with character χ, whenever the height of the character χ is not too large. And a more concrete computation can be made for a class of modules with semisimple characters.

Key words： Lie algebra of Cartan type; generalized restricted Lie algebra; support variety; semisimple character; exceptional module

Cite this article

Yufeng YAO , Bin SHU . Support varieties of semisimple-character representations for Cartan type Lie algebras[J]. Frontiers of Mathematics in China, 2011 , 6(4) : 775 -788 . DOI: 10.1007/s11464-011-0133-x

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