Explicit Capelli identities for skew symmetric matrices

Kenji Kinoshita, Masato Wakayama

Research output: Contribution to journalArticlepeer-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 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

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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