On the minimal degree of the \(*\)-polynomial identities for the matrix algebra of order \(6\) with symplectic involution

DOI10.1007/BF02844490zbMath0885.16016MaRDI QIDQ1373434

Tsetska Gr. Rashkova

Publication date: 12 January 1998

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

matrix algebrasalgebras with involutionsalgebras with polynomial identitiessymplectic involutions\(*\)-polynomial identitiesidentities of matrices with involutionsminimal degrees of identities

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Trace rings and invariant theory (associative rings and algebras) (16R30)

Cites Work

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• Codimensions of T-ideals and Hilbert series of relatively free algebras
• Homogeneous polynomial identities
• On *-polynomial identities for n\(\times n\) matrices
• A simple proof of Kostant’s theorem, and an analogue for the symplectic involution
• Minimal Identities for Algebras

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