PBW bases for a class of braided Hopf algebras.

DOI10.1016/j.jalgebra.2004.06.017zbMath1113.16044arXivmath/0311504OpenAlexW1968750536MaRDI QIDQ2386025

Stefan Ufer

Publication date: 22 August 2005

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

Full work available at URL: https://arxiv.org/abs/math/0311504

zbMATH Keywords

Yetter-Drinfeld modulesbraided Hopf algebraspointed Hopf algebrasNichols algebrasPBW bases

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items

On a factorization of graded Hopf algebras using Lyndon words. ⋮ Quantum group actions, twisting elements, and deformations of algebras. ⋮ Triangular braidings and pointed Hopf algebras. ⋮ The structure of connected (graded) Hopf algebras revisited ⋮ A presentation by generators and relations of Nichols algebras of diagonal type and convex orders on root systems. ⋮ Rank 4 Nichols algebras of pale braidings ⋮ On Nichols algebras over basic Hopf algebras ⋮ PBW-bases of coideal subalgebras and a freeness theorem ⋮ On finite dimensional Nichols algebras of diagonal type ⋮ Braided Enveloping Algebras Associated to Quantum Parabolic Subalgebras ⋮ UNIVERSAL ENVELOPING ALGEBRAS OF PBW TYPE ⋮ The structure of connected (graded) Hopf algebras ⋮ Nichols Algebras of Unidentified Diagonal Type ⋮ On finite GK-dimensional Nichols algebras over abelian groups ⋮ On the Lifting of Nichols Algebras

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