UNIVERSAL ENVELOPING ALGEBRAS OF PBW TYPE
From MaRDI portal
Publication:3116832
DOI10.1017/S0017089511000310zbMath1243.16036arXiv1008.4523OpenAlexW2963523445MaRDI QIDQ3116832
Publication date: 12 February 2012
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.4523
Nichols algebrasbraided bialgebrasbraided Lie algebrasbraided vector spacesgeneralized universal enveloping algebrasPBW-type theorems
Universal enveloping (super)algebras (17B35) Universal enveloping algebras of Lie algebras (16S30) Bialgebras (16T10)
Related Items
Monadic vs adjoint decomposition, On rigidity of Nichols algebras, Monadic decompositions and classical Lie theory
Cites Work
- A Milnor-Moore type theorem for primitively generated braided bialgebras.
- On the combinatorial rank of a graded braided bialgebra.
- Connected braided Hopf algebras.
- An analogue of P.B.W. theorem and the universal R-matrix for \(U_ h\mathfrak{sl}(N+1)\)
- Braided bialgebras of Hecke-type.
- A Poincaré-Birkhoff-Witt theorem for the quantum group of type \(A_ n\)
- The quantum Poincaré-Birkhoff-Witt theorem
- On Lie algebras in the category of Yetter-Drinfeld modules
- Quantized Koszul complexes
- Quantum and braided-Lie algebras
- Differential calculus on compact matrix pseudogroups (quantum groups)
- Braided Lie algebras and bicovariant differential calculi over co-quasitriangular Hopf algebras
- Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type
- PBW bases for a class of braided Hopf algebras.
- On the structure of Hopf algebras
- Separable Functors and Formal Smoothness
- Hochschild Homology in a Braided Tensor Category
- PBW-bases of quantum groups.
- Skew primitive elements in Hopf algebras and related identities
