Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (3): 417-432.

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Several Integrals of Quaternionic Field on Hyperbolic Matrix Space

Shu Fuwen1, Shen Yougen2   

  1. 1 Department of Physics, Nanchang University, Nanchang 330031;
    2 Shanghai Astronomical observatory, Chinese Academy of Sciences, Shanghai 200030
  • Received:2016-01-28 Revised:2017-09-29 Online:2018-06-26 Published:2018-06-26
  • Supported by:
    Supported by the NSFC (11465012, 11373020), the Natural Science Foundation of Jiangxi Province (20142BAB202007) and the 555 Talent Project of Jiangxi Province

Abstract: Some integrals of matrix spaces over a quaternionic field have been calculated in this work. The associated volume of hyperbolic matrix spaces over a quaternionic field has also been calculated by making use of these integrals, and it is of great significance in calculating related kernel functions of these spaces.

Key words: Quaternionic field, Integral on matrix spaces, Hyperbolic matrix space

CLC Number: 

  • O172
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