Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (1): 28-36.

• Articles • Previous Articles     Next Articles

Low Dimensional Cohomology Groups for Even Parts of Special Odd Hamiltonian Lie Superalgebras

 BAI Wei1, LIU Wen-De1**, YUAN Ji-Xia2   

  1. 1.School of Mathematical Sciences, Harbin Normal University, Harbin 150025;
    2.School of Mathematical Sciences, Heilongjiang University, Harbin 150080
  • Received:2011-01-08 Revised:2012-05-16 Online:2013-02-25 Published:2013-02-25
  • Contact: LIU Wen-De,wendeliu@ustc.edu.cn E-mail:baiwei26@gmail.com; wendeliu@ustc.edu.cn; yuanjixia138@sina.com
  • Supported by:

    国家自然科学基金(11171055, 10871057)、黑龙江省自然科学基金(A200903, JC201004)和黑龙江省教育厅科学基金(12521158) 资助

Abstract:

Derivation spaces for even parts of finite-dimensional special odd Hamiltonian superalgebras into even parts of generalized Witt superalgebras are completely determined by means of weight space decompositions with respect to suitable tori. Moreover, the corresponding dimension formulas of low dimensional cohomology groups are determined.

Key words: Weight space decompositions, Derivations, Low dimensional cohomology groups

CLC Number: 

  • 17B50
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