Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (6): 1383-1393.

• Articles •     Next Articles

Irreducible Modules for Special Algebra S (3, 1)

 SHAN Cui-Ping, JIANG Zhi-Hong   

  1. Department of Mathematics, Tongji University, Shanghai 200092
  • Received:2008-06-25 Revised:2009-10-09 Online:2010-12-25 Published:2010-12-25
  • Supported by:

    国家自然科学基金 (10671142)和博士点专项基金(20040247024)资助

Abstract:

In this paper,  the authors study the irreducible modules by determining the maximal weight vector which generates the minimal left ideal of the reduced enveloping algebra. They obtain a complete set of non-isomorphic irreducible modules for Special algebra S(3,1) when the height of the characters is not larger than 0 and characteristic of the field is 2, and determine their dimension.

Key words: Maximal weight vector, Character, Minimal left ideal, Irreducible module

CLC Number: 

  • 17B50
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