Group actions and invariants in algebras of generic matrices.

DOI10.1016/j.aam.2005.08.007zbMath1117.16014arXivmath/0507548OpenAlexW1980317314WikidataQ117378818 ScholiaQ117378818MaRDI QIDQ867910

Zinovy Reichstein, Nikolaus Vonessen

Publication date: 19 February 2007

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507548

zbMATH Keywords

invariantsgroup actionsgeometric actionsGelfand-Kirillov dimensionPI-degreescentral polynomialsgeneric matricesconcomitantsuniversal division algebras

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Vector and tensor algebra, theory of invariants (15A72) Trace rings and invariant theory (associative rings and algebras) (16R30) Finite-dimensional division rings (16K20)

Related Items (3)

Group actions on central simple algebras: a geometric approach. ⋮ Tame group actions on central simple algebras. ⋮ Using Hook Schur Functions to Compute Matrix Cocharacters

Cites Work

• A conjecture of Regev about the Capelli polynomial
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