On the exponential growth of graded Capelli polynomials.

DOI10.1007/S11856-012-0143-8zbMath1288.16029OpenAlexW2012375707MaRDI QIDQ375872

Francesca Saviella Benanti

Publication date: 1 November 2013

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

Full work available at URL: https://doi.org/10.1007/s11856-012-0143-8

zbMATH Keywords

PI exponentsgraded Capelli polynomialssuperexponentsvarieties of superalgebras

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Identities other than those of matrices over commutative rings (16R40) ``Super (or ``skew) structure (16W55)

Related Items (3)

On the asymptotics of Capelli polynomials ⋮ Capelli identities on algebras with involution or graded involution ⋮ Asymptotics for graded Capelli polynomials.

Cites Work

• Unnamed Item
• Graded polynomial identities and codimensions: computing the exponential growth.
• Wreath products and P.I. algebras
• Polynomial identities on superalgebras and exponential growth
• The exponential growth of codimensions for Capelli identities
• Graded polynomial identities and exponential growth
• Identities of associative algebras
• A six generalized squares theorem, with applications to polynomial identity algebras

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