Structure of H-(co)module Lie algebras
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Publication:2856380
zbMath1287.17010arXiv1205.0778MaRDI QIDQ2856380
Publication date: 28 October 2013
Full work available at URL: https://arxiv.org/abs/1205.0778
stabilityLie algebraHopf algebraradicalHopf algebra actiongradingLevi decomposition\(H\)-module algebra\(H\)-comodule algebra
Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70) Hopf algebras and their applications (16T05) Affine algebraic groups, hyperalgebra constructions (14L17)
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Brauer-Clifford group of \((S,\mathcal{G},H)\)-Azumaya algebras ⋮ A new invariant for finite dimensional Leibniz/Lie algebras ⋮ Brauer–Clifford group of (S,G,H)-Azumaya comodule algebras ⋮ Lie algebras simple with respect to a Taft algebra action ⋮ Derivations, gradings, actions of algebraic groups, and codimension growth of polynomial identities. ⋮ Wedderburn–Malcev and Levi theorems for weak Hopf algebras ⋮ Fundamental theorem of Poisson \((A,H)\)-Hopf modules ⋮ Amitsur’s conjecture for polynomial 𝐻-identities of 𝐻-module Lie algebras
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