Frontiers of Mathematics in China >

2009 , Vol. 4 >Issue 2: 365 - 379

DOI: https://doi.org/10.1007/s11464-009-0012-x

RESEARCH ARTICLE

Lie super-bialgebra structures on super-Virasoro algebra

  • Hengyun YANG
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  • Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China

Received date: 29 Aug 2008

Accepted date: 30 Nov 2008

Published date: 05 Jun 2009

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

In this paper we obtain that every super-Virasoro algebra admits only triangular coboundary Lie super-bialgebra structures and this is proved mainly based on the computation of derivations from the super- Virasoro algebra to the tensor product of its adjoint module.

Key words： Lie super-bialgebra; Yang-Baxter equation; super-Virasoro algebra

Cite this article

Hengyun YANG . Lie super-bialgebra structures on super-Virasoro algebra[J]. Frontiers of Mathematics in China, 2009 , 4(2) : 365 -379 . DOI: 10.1007/s11464-009-0012-x

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