Capelli identities for classical Lie algebras

A Molev; M Nazarov

doi:10.1007/s002080050263

Capelli identities for classical Lie algebras

A Molev, M Nazarov

Mathematics

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

Abstract

We extend the Capelli identity from the Lie algebra gl(N) to the other classical Lie algebras so(N) and sp(N) We employ the theory of reductive dual pairs due to Howe. Mathematics Subject Classification (1991): 17B35.

Original language	English
Pages (from-to)	315-357
Number of pages	43
Journal	Mathematische Annalen
Volume	313
Issue number	2
DOIs	https://doi.org/10.1007/s002080050263
Publication status	Published - Feb 1999

Keywords

BOUNDARY-CONDITIONS
POLYNOMIALS
DETERMINANT
YANGIANS
SYSTEMS

Access to Document

10.1007/s002080050263

http://arxiv.org/abs/q-alg/9712021

Cite this

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title = "Capelli identities for classical Lie algebras",

abstract = "We extend the Capelli identity from the Lie algebra gl(N) to the other classical Lie algebras so(N) and sp(N) We employ the theory of reductive dual pairs due to Howe. Mathematics Subject Classification (1991): 17B35.",

keywords = "BOUNDARY-CONDITIONS, POLYNOMIALS, DETERMINANT, YANGIANS, SYSTEMS",

author = "A Molev and M Nazarov",

year = "1999",

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journal = "Mathematische Annalen",

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AU - Nazarov, M

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AB - We extend the Capelli identity from the Lie algebra gl(N) to the other classical Lie algebras so(N) and sp(N) We employ the theory of reductive dual pairs due to Howe. Mathematics Subject Classification (1991): 17B35.

KW - BOUNDARY-CONDITIONS

KW - POLYNOMIALS

KW - DETERMINANT

KW - YANGIANS

KW - SYSTEMS

U2 - 10.1007/s002080050263

DO - 10.1007/s002080050263

M3 - Article

SN - 1432-1807

VL - 313

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EP - 357

JO - Mathematische Annalen

JF - Mathematische Annalen

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