P. I. algebras with Hopf algebra actions

DOI10.1006/JABR.1998.7707zbMath0928.16017OpenAlexW1968364810MaRDI QIDQ1291084

Jeffrey Bergen, Allan Berele

Publication date: 24 October 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7707

zbMATH Keywords

Grassmann algebrasfinite dimensional Hopf algebrasHopf algebra actionsverbally prime algebrasactions on PI algebrasverbal semiprimeness

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50) Exterior algebra, Grassmann algebras (15A75) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (6)

Kemer's theory for \(H\)-module algebras with application to the PI exponent ⋮ Verbally prime T-ideals and graded division algebras ⋮ Representability and Specht problem for \(G\)-graded algebras. ⋮ Graded polynomial identities and exponential growth ⋮ The factorability of T₂-ideals of minimal supervarieties ⋮ Identities of PI-Algebras Graded by a Finite Abelian Group

Cites Work

• The representations of wreath products via double centralizing theorems
• Cocharacter sequences of algebras with Hopf algebra actions
• The early development of the representation theory of semisimple Lie groups: A. Hurwitz, I. Schur, H. Weyl
• Group-Graded Rings, Smash Products, and Group Actions
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• A.D. Alexandrov spaces with curvature bounded below

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