Actions of Lie superalgebras on reduced rings.

DOI10.1007/s10468-007-9070-5zbMath1151.16038OpenAlexW2014257402MaRDI QIDQ930357

Piotr Grzeszczuk, Jeffrey Bergen, Małgorzata E. Hryniewicka

Publication date: 30 June 2008

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

Full work available at URL: https://doi.org/10.1007/s10468-007-9070-5

zbMATH Keywords

rings of invariantsLie superalgebraspolynomial identitiesreduced ringsactions of finite-dimensional Hopf algebras

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Universal enveloping (super)algebras (17B35) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Smash products of general Hopf actions (16S40) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Cites Work

• Smash products and outer derivations
• Differential identities of semiprime rings
• Polynomial identities of algebras with actions of pointed Hopf algebras.
• Actions of pointed Hopf algebras with reduced pi invariants
• Invariants of Lie color algebras acting on graded algebras
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