Cartan Matrix for the Finite Symplectic Group Sp(6, 3)

Abstract

The Cartan matrix for the finite symplectic group Sp(6, 3) over a field of three elements is computed in this paper by using a computer and the MATLAB software.

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Correspondence to Jiachen Ye.

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2000 Mathematics Subject Classification: 20C33 20C40, 20G05

Supported in part by the NNSFC (10271088) and the Foundation for the University Science and Technology Development of Shanghai.

Communicated by Jianyi Shi

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Liu, A., Ye, J. Cartan Matrix for the Finite Symplectic Group Sp(6, 3). Algebra Colloq. 10, 33–39 (2003). https://doi.org/10.1007/s100110300005

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Keywords:

  • symplectic group
  • Cartan matrix