Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (2): 466-477.

• Articles • Previous Articles     Next Articles

The First Cartan Invariant of Sp(4, 3n)

 WU Sui-Chao1, YE Jia-Chen2   

  1. 1.School of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620|2.Department of Mathematics, Tongji University, Shanghai 200092
  • Received:2008-06-07 Revised:2010-02-03 Online:2011-04-25 Published:2011-04-25
  • Supported by:

    上海高校选拔培养优秀青年教师科研专项基金(gjd09032)和国家自然科学基金(11071187)资助

Abstract:

It is a very important aspect in modular representations of finite groups that how one can calculate the Cartan invariant, especially, the first Cartan invariant for a finite group of Lie type. By using a series of results from modular representations of algebraic groups, and by using MATLAB software, the authors compute the first Cartan invariant of the finite symplectic group Sp(4, 3n) over a field with 3n elements.

Key words: Finite symplectic groups, The first Cartan invariant, Finite groups of Lie type

CLC Number: 

  • 20C33
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