Explicit Capelli identities for skew symmetric matrices

Kenji Kinoshita, Masato Wakayama

Research output: Contribution to journal › Article

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 GLN. 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 GLN.

Original languageEnglish
Pages (from-to)449-465
Number of pages17
JournalProceedings of the Edinburgh Mathematical Society
Volume45
Issue number2
DOIs
Publication statusPublished - Jul 20 2002

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Capelli Identity
Skew symmetric matrix
General Linear Group
Infinitesimal Generator
Skew
Explicit Formula
Trace
Standards

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Explicit Capelli identities for skew symmetric matrices. / Kinoshita, Kenji; Wakayama, Masato.

In: Proceedings of the Edinburgh Mathematical Society, Vol. 45, No. 2, 20.07.2002, p. 449-465.

Research output: Contribution to journal › Article

Kinoshita, K & Wakayama, M 2002, 'Explicit Capelli identities for skew symmetric matrices', Proceedings of the Edinburgh Mathematical Society, vol. 45, no. 2, pp. 449-465. https://doi.org/10.1017/S0013091500001176
Kinoshita K, Wakayama M. Explicit Capelli identities for skew symmetric matrices. Proceedings of the Edinburgh Mathematical Society. 2002 Jul 20;45(2):449-465. https://doi.org/10.1017/S0013091500001176
Kinoshita, Kenji ; Wakayama, Masato. / Explicit Capelli identities for skew symmetric matrices. In: Proceedings of the Edinburgh Mathematical Society. 2002 ; Vol. 45, No. 2. pp. 449-465.
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