Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (6): 1402-1412.

• Articles • Previous Articles     Next Articles

Left-symmetric Structures on Lie Superalgebra W(m, n, t )

 WEI Zhu, ZHANG Qiang-Cheng   

  1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024
  • Received:2007-12-09 Revised:2009-09-18 Online:2010-12-25 Published:2010-12-25
  • Supported by:

    国家自然科学基金(10871057)资助

Abstract:

This paper discusses some properties about etale superaffine representation by defining the left-symmetric superalgebra. Let W:=W(m, n, t ) be the general module Lie superalgebra of Cartan type. Under certain conditions, translative isomorphisms induce left-symmetric structures on W. On the other hand, the mixed product theorems are generalized.

Key words: Left-symmetric superalgebra, Displacement, Translation

CLC Number: 

  • 17B40
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