Skew primitive elements in Hopf algebras and related identities

DOI10.1006/jabr.2000.8663zbMath0987.16031OpenAlexW2019609847MaRDI QIDQ5936920

Vladislav Kharchenko

Publication date: 5 June 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8663

zbMATH Keywords

Lie algebrasbi-idealscharacter Hopf algebrascombinatorial rankdegree functionshomogeneous Lie polynomialsHopf idealsquantum Specht-Weaver conditionsquantum universal enveloping algebrasskew-primitive elementsskew-primitive generators

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping algebras of Lie algebras (16S30)

Related Items

Monadic vs adjoint decomposition ⋮ On primitively generated braided bialgebras. ⋮ Quantizations of Kac-Moody algebras. ⋮ Primitive identities of skew derivations. ⋮ Right coideal subalgebras of \(U_q^+(\mathfrak{so}_{2n+1})\) ⋮ PBW-bases of coideal subalgebras and a freeness theorem ⋮ Right coideal subalgebras in \(U_q(\mathfrak{sl}_{n+1})\) ⋮ A Milnor-Moore type theorem for primitively generated braided bialgebras. ⋮ On the combinatorial rank of a graded braided bialgebra. ⋮ Identities, Ore extensions and character skew derivations. ⋮ UNIVERSAL ENVELOPING ALGEBRAS OF PBW TYPE ⋮ Skew Derivations and Deformations of a Family of Group Crossed Products

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