Classification of Semisimple Hopf Algebras
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Publication:3053876
DOI10.1016/S1570-7954(07)05008-5zbMath1218.16020MaRDI QIDQ3053876
Publication date: 30 October 2010
Published in: Handbook of Algebra (Search for Journal in Brave)
Hopf algebras and their applications (16T05) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)
Related Items (4)
Classifying bicrossed products of Hopf algebras. ⋮ Some advances about the existence of compact involutions in semisimple Hopf algebras ⋮ Semisimplicity criteria for irreducible Hopf algebras in positive characteristic ⋮ Topological dualities in the Ising model
Cites Work
- Biinvertible actions of Hopf algebras
- Some properties of finite-dimensional semisimple Hopf algebras
- Normal basis and transitivity of crossed products for Hopf algebras
- Untergruppen formeller Gruppen von endlichem Index
- Pointed Hopf algebras and Kaplansky's 10th conjecture
- Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
- Semisimple Hopf algebras of dimension \(pq\) are trivial
- On the number of types of finite dimensional Hopf algebras
- Irreducible representations of crossed products
- Twisting in group algebras of finite groups
- The set of types of \(n\)-dimensional semisimple and cosemisimple Hopf algebras is finite
- Quantum lines over non-cocommutative cosemisimple Hopf algebras.
- On the exponent of finite-dimensional Hopf algebras
- Hopf bimodules, coquasibialgebras, and an exact sequence of Kac
- Classification of subfactors: The reduction to commuting squares
- A family of braided cosemisimple Hopf algebras of finite dimension
- On semisimple Hopf algebras of dimension \(pq^2\)
- Non-semisimple Hopf algebras of dimension \(p^2\).
- Self-dual modules of semisimple Hopf algebras.
- On semisimple Hopf algebras of dimension \(pq^r\).
- On Hopf algebras of dimension \(pq\).
- Classification of amenable subfactors of type II
- Self-dual Hopf algebras of dimension \(p^ 3\) obtained by extension
- Paragroup of Adrian Ocneanu and Kac algebra
- On fusion categories.
- Characters of Hopf algebras
- Certain arithmetic properties of ring groups
- On generalized Hopf Galois extensions.
- Some properties of factorizable Hopf algebras
- Defending the negated Kaplansky conjecture
- Finite Subgroups of the Quantum General Linear Group
- Projectivity and freeness over comodule algebras
- Semisolvability of semisimple Hopf algebras of low dimension
- The Group of Automorphisms of a Semisimple Hopf Algebra Over a Field of Characteristic 0 is Finite
- Crossed Products and Inner Actions of Hopf Algebras
- Semisimple Cosemisimple Hopf Algebras
- A Hopf Algebra Freeness Theorem
- Actions of finite groups on the hyperfinite type 𝐼𝐼₁ factor
- Matched pairs of groups and bismash products of hopf algebras
- The Order of the Antipode of a Finite Dimensional Hopf Algebra is Finite
- Equivalent crossed products for a hopf algebra
- On the order of the antipode of hopf algebras
- Finite Index Subfactors and Hopf Algebra Crossed Products
- Faithfully flat forms and cohomology of hopf algebra extensions
- K0-rings and twisting of finite dimensional semisimple hopf algebras
- HOPF ALGEBRAS OF DIMENSION 14
- Kac algebras arising from composition of subfactors: general theory and classification
- Hopf algebras of dimension $2p$
- Hopf bigalois extensions
- Semisimple hopf algebras of dimension 2p
- The $p^n$ theorem for semisimple Hopf algebras
- An example of finite dimensional Kac algebras of Kac-Paljutkin type
- On some examples of simple quantum groups
- EXTENSIONS OF GROUPS TO RING GROUPS
- The Order of the Antipode of Finite-dimensional Hopf Algebra
- Classification of semisimple Hopf algebras of dimension 16
- A Frobenius-Schur theorem for Hopf algebras
- Modular categories and Hopf algebras
- On semisimple Hopf algebras of dimension \(pq^2\). II
- Hopf algebra actions on strongly separable extensions of depth two
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