Bicharacters, twistings, and Scheunert's theorem for Hopf algebras

DOI10.1006/jabr.2000.8520zbMath0966.17017OpenAlexW2008139145MaRDI QIDQ5929450

Davida Fischman, Yu. A. Bakhturin, Susan Montgomery

Publication date: 14 August 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8520

zbMATH Keywords

Hopf algebras\((H,\beta)\)-Lie algebrasbicharacterscolor Lie algebras

Mathematics Subject Classification ID

Color Lie (super)algebras (17B75)

Related Items

Connected braided Hopf algebras. ⋮ Radford's \(S^4\) formula for co-Frobenius Hopf algebras. ⋮ Generalizations of Lie algebras ⋮ Milnor-Moore categories and monadic decomposition ⋮ Generalized Lie Algebras and Cocycle Twists ⋮ On rigidity of Nichols algebras ⋮ Braided \(m\)-Lie algebras ⋮ Hopf Algebras ⋮ Long bialgebras, dimodule algebras and quantum Yang-Baxter modules over Long bialgebras. ⋮ Graded tensor products. ⋮ Structures of Nichols (braided) Lie algebras of diagonal type ⋮ On regular 𝐺-gradings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the generalized Lie structure of associative algebras
• Determinants, integrality and Noether's theorem for quantum commutative algebras
• Crossed products and Galois extensions of Hopf algebras
• Some properties of finite-dimensional semisimple Hopf algebras
• Functions of noncommuting operators that generate a graded Lie algebra
• Infinite dimensional Lie superalgebras
• On the antipode of a quasitriangular Hopf algebra
• Locally finite representations
• Determinants and symmetries in `Yetter-Drinfeld' categories
• Simple Lie color algebras of Witt type
• On the Drinfeld double and the Heisenberg double of a Hopf algebra
• A Schur double centralizer theorem for cotriangular Hopf algebras and generalized Lie algebras
• Free Hopf algebras generated by coalgebras
• Characters of Hopf algebras
• Crossed Products and Inner Actions of Hopf Algebras
• Semisimple Cosemisimple Hopf Algebras
• An obstruction to generalising superalgebras
• Generalized Lie algebras
• Pi-envelopes of Lie superalgebras
• Braided bialgebras and quadratic blalgebras
• Cohomology of Algebras Over Hopf Algebras
• Lie Algebra Kernels and Cohomology