Quotient spaces for hopf algebras

DOI10.1080/00927879408824973zbMath0801.16041OpenAlexW2102232406MaRDI QIDQ4293753

Mitsuhiro Takeuchi

Publication date: 7 July 1994

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

Full work available at URL: https://doi.org/10.1080/00927879408824973

zbMATH Keywords

quantum groupsHopf algebraleft idealsright coideal subalgebraisomorphism theoremscorrespondence theoremsbi-idealHopf idealbijective antipodesubbialgebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ideals in associative algebras (16D25)

Related Items

Distinguished pre-Nichols algebras ⋮ On the notion of exact sequence: From Hopf algebras to tensor categories ⋮ Crossed products for pointed hopf algebras ⋮ Jordan-Hölder theorem for finite dimensional Hopf algebras ⋮ The largest Hopf subalgebra of a bialgebra. ⋮ On an analogue of a Brauer theorem for fusion categories ⋮ Lifting via cocycle deformation. ⋮ Equivalent notions of normal quantum subgroups, compact quantum groups with properties \(F\) and \(FD\), and other applications ⋮ Character tables and normal left coideal subalgebras. ⋮ On Hopf algebras of dimension \(4p\). ⋮ Probabilistically nilpotent Hopf algebras ⋮ Solvability for semisimple Hopf algebras via integrals ⋮ Solvable Hopf algebras and their twists ⋮ Simple compact quantum groups. I ⋮ Yetter-Drinfel'd algebras and coideals of Weak Hopf $C^*$-Algebras ⋮ KERNELS OF REPRESENTATIONS AND COIDEAL SUBALGEBRAS OF HOPF ALGEBRAS ⋮ On generalized Hopf Galois extensions. ⋮ The fundamental correspondences in super affine groups and super formal groups.

Cites Work

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• Principal homogeneous spaces for arbitrary Hopf algebras
• Relative Hopf modules - equivalences and freeness criteria
• Faithful flatness of Hopf algebras
• A correspondence between Hopf ideals and sub-Hopf algebras
• Some remarks on exact sequences of quantum groups
• On the structure of relative hopf modules
• Coideal subalgebras in hopf algebras: freeness, integrals, smash products
• Formal schemes over fields^∗