The exponential growth of codimensions for Capelli identities

DOI10.1007/BF02810594zbMath0947.16010OpenAlexW2030349414MaRDI QIDQ1972838

Amitai Regev, Mikhail V. Zaicev, Sergey Mishchenko

Publication date: 13 August 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02810594

zbMATH Keywords

T-idealsfour squares theoremcodimensionsvarieties of algebrascodimension growthCapelli identitiesexponents of varieties

Mathematics Subject Classification ID

Trace rings and invariant theory (associative rings and algebras) (16R30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Additive number theory; partitions (11P99) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (7)

On the asymptotics of Capelli polynomials ⋮ The mathematics of Amitai Regev ⋮ On the exponential growth of graded Capelli polynomials. ⋮ Capelli identities on algebras with involution or graded involution ⋮ Asymptotics for the standard and the Capelli identities. ⋮ A six generalized squares theorem, with applications to polynomial identity algebras ⋮ Exponential growth for codimensions of some p. i. algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Codimensions and trace codimensions of matrices are asymptotically equal
• Applications of hook Young diagrams to P.I. algebras
• Homogeneous polynomial identities
• Algebras satisfying a Capelli identity
• PI-algebras and their cocharacters
• The \(T\)-ideal generated by the standard identity \(s_3[x_1,x_2,x_3\)]
• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Asymptotic values for degrees associated with strips of Young diagrams

This page was built for publication: The exponential growth of codimensions for Capelli identities