Explicit Capelli identities for skew symmetric matrices

Kenji Kinoshita; Masato Wakayama

doi:10.1017/S0013091500001176

Explicit Capelli identities for skew symmetric matrices

Kenji Kinoshita, Masato Wakayama

Trustee(Vice President)

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

The main purpose of this paper is to obtain an explicit Capelli identity relating skew-symmetric matrices under the action of the general linear group GL_N. In particular, we give an explicit formula for the skew Capelli element in terms of the trace of powers of a matrix defined by the standard infinitesimal generators of GL_N.

Original language	English
Pages (from-to)	449-465
Number of pages	17
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	45
Issue number	2
DOIs	https://doi.org/10.1017/S0013091500001176
Publication status	Published - Jul 20 2002

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1017/S0013091500001176

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