Invariants for an adjoint action of classical groups

A. N. Zubkov

doi:10.1007/BF02671747

Invariants for an adjoint action of classical groups

A. N. Zubkov

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

16 Citations (Scopus)

Abstract

Let H = Sp(n) or H = O(n); and charK ≠ 2 in the orthogonal case. We prove that an invariant algebra K[M(n)^m]^H is generated by elements σ_i(Y_j1 ... Y_jn), where every matrix Y_i either is X_i or the (symplectic) transpose of X_i.

Original language	English
Pages (from-to)	299-318
Number of pages	20
Journal	Algebra and Logic
Volume	38
Issue number	5
DOIs	https://doi.org/10.1007/BF02671747
Publication status	Published - 1999
Externally published	Yes

ASJC Scopus subject areas

Analysis
Logic

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10.1007/BF02671747

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title = "Invariants for an adjoint action of classical groups",

abstract = "Let H = Sp(n) or H = O(n); and charK ≠ 2 in the orthogonal case. We prove that an invariant algebra K[M(n)m]H is generated by elements σi(Yj1 ... Yjn), where every matrix Yi either is Xi or the (symplectic) transpose of Xi.",

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AB - Let H = Sp(n) or H = O(n); and charK ≠ 2 in the orthogonal case. We prove that an invariant algebra K[M(n)m]H is generated by elements σi(Yj1 ... Yjn), where every matrix Yi either is Xi or the (symplectic) transpose of Xi.

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UR - https://www.scopus.com/pages/publications/0007182832#tab=citedBy

U2 - 10.1007/BF02671747

DO - 10.1007/BF02671747

M3 - Article

AN - SCOPUS:0007182832

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VL - 38

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EP - 318

JO - Algebra and Logic

JF - Algebra and Logic

IS - 5

ER -

Invariants for an adjoint action of classical groups

Abstract

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