The Regev conjecture and cocharacters for identities of associative algebras of PI-exponent 1 and 2.

DOI10.1134/S0001434608050209zbMath1166.16012WikidataQ122947512 ScholiaQ122947512MaRDI QIDQ2518036

Alexei S. Gordienko

Publication date: 12 January 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

irreducible charactersfree associative algebrasYoung tableauxcodimension sequencesalgebras of polynomial growthalgebras with polynomial identityPI-exponentsasymptotics of codimensionsalgebras of PI-exponent 2

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Identities other than those of matrices over commutative rings (16R40) ``Super (or ``skew) structure (16W55)

Related Items (4)

Some characterizations of algebras with involution with polynomial growth of their codimensions ⋮ Asymptotic growth of codimensions of identities of associative algebras. ⋮ Regev's conjecture and codimensions of P.I. algebras. ⋮ Graded algebras with polynomial growth of their codimensions.

Cites Work

• Codimensions and trace codimensions of matrices are asymptotically equal
• Representability of reduced free algebras
• Exponential codimension growth of PI algebras: an exact estimate
• Minimal varieties of algebras of exponential growth
• The Polynomial Identities of the Grassman Algebra
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