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VOL. 76 | 2018 Remarks on the Capelli identities for reducible modules
Tôru Umeda

Editor(s) Hitoshi Konno, Hidetaka Sakai, Junichi Shiraishi, Takao Suzuki, Yasuhiko Yamada

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

Rights: Copyright © 2018 Mathematical Society of Japan

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