Asymptotics for graded Capelli polynomials.

DOI10.1007/s10468-014-9490-yzbMath1322.16012OpenAlexW2063978955MaRDI QIDQ2352041

Francesca Saviella Benanti

Publication date: 29 June 2015

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-014-9490-y

zbMATH Keywords

exponentspolynomial identitiesgraded codimensionsPI exponentsgraded Capelli polynomialsvarieties of superalgebrasgrowth sequencesgraded codimension sequencesfinite dimensional simple superalgebrasgrowth of supervarietiesT-ideals of graded identities

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) ``Super (or ``skew) structure (16W55)

Related Items (4)

On the asymptotics of Capelli polynomials ⋮ *-Graded Capelli polynomials and their asymptotics ⋮ Capelli identities on algebras with involution or graded involution ⋮ Asymptotics for Capelli polynomials with involution

Cites Work

• Unnamed Item
• On the exponential growth of graded Capelli polynomials.
• Wreath products and P.I. algebras
• Exponential codimension growth of PI algebras: an exact estimate
• Polynomial identities on superalgebras and exponential growth
• Asymptotics for the standard and the Capelli identities.
• Asymptotics for Amitsur's Capelli-type polynomials and verbally prime PI-algebras.
• Identities of associative algebras

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