Abstract
Inspired by the new type of Capelli identity associated with the regular representation of quaternions obtained by An Huang [6], we present a more basic type of Capelli identities for reducible modules of the matrix algebras. As a related subject in view of reducible modules, we also discuss the Capelli identities associated with group determinants, for which a precise formulation and an answer are given.
Information
Published: 1 January 2018
First available in Project Euclid: 21 September 2018
zbMATH: 07039313
MathSciNet: MR3837932
Digital Object Identifier: 10.2969/aspm/07610527
Subjects:
Primary:
13N10
,
17B35
Keywords:
Capelli identity
,
group determinant
Rights: Copyright © 2018 Mathematical Society of Japan
