Identities of lei algebras with actions of hopf algebras

DOI10.1080/00927879708826047zbMath0890.16019OpenAlexW2014207141MaRDI QIDQ4361051

V. Linchenko

Publication date: 6 January 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708826047

zbMATH Keywords

Hopf algebraspolynomial identitiesactions of finite groupsautomorphisms of Lie algebrasinvariants of Hopf algebrasaction of Hopf algebrasfixed points of Lie algebras

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Identities, free Lie (super)algebras (17B01) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70)

Related Items (23)

Some thoughts on the current state of the theory of identical relations in Lie algebras ⋮ On groups satisfying a positive law in fixed points. ⋮ Amitsur's conjecture for associative algebras with a generalized Hopf action. ⋮ Exponent of a finite group admitting a coprime automorphism ⋮ Growth for algebras satisfying polynomial identities. ⋮ Graded group actions and generalized \(H\)-actions compatible with gradings ⋮ Nilpotent Ideals in Graded Lie Algebras and Almost Constant-Free Derivations ⋮ Fixed points of coprime operator groups. ⋮ Profinite groups and centralizers of coprime automorphisms whose elements are Engel ⋮ Lie algebras simple with respect to a Taft algebra action ⋮ On groups with automorphisms whose fixed points are Engel ⋮ Derivations, gradings, actions of algebraic groups, and codimension growth of polynomial identities. ⋮ Relations Between Algebras and Their Subalgebras of Invariants ⋮ Derived subgroups of fixed points. ⋮ Profinite groups and the fixed points of coprime automorphisms. ⋮ Engel-like conditions in fixed points of automorphisms of profinite groups ⋮ Positive laws in fixed points ⋮ Profinite groups with an automorphism whose fixed points are right Engel ⋮ Bounding the exponent of a finite group with automorphisms ⋮ Amitsur’s conjecture for polynomial 𝐻-identities of 𝐻-module Lie algebras ⋮ DERIVED SUBGROUPS OF FIXED POINTS IN PROFINITE GROUPS ⋮ Almost regular automorphisms ⋮ On finite groups with automorphisms whose fixed points are Engel.

Cites Work

• Actions of Commutative Hopf Algebras
• Rings with Fixed-Point-Free Group Actions

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