An example of finite dimensional Kac algebras of Kac-Paljutkin type

DOI10.1090/S0002-9939-96-03199-1zbMath0845.46031MaRDI QIDQ4875568

Yoshihiro Sekine

Publication date: 24 April 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite-dimensional Kac algebras of Kac-Paljutkin type

Mathematics Subject Classification ID

Subfactors and their classification (46L37) Dual spaces of operator algebras (47L50)

Related Items

Extensions of locally compact quantum groups and the bicrossed product construction., The Frucht property in the quantum group setting, Quantum isometries and group dual subgroups, Trace of powers of representations of finite quantum groups, Maximal torus theory for compact quantum groups, Nilpotent fusion categories, The ergodic theorem for random walks on finite quantum groups, Classification of Semisimple Hopf Algebras, On idempotent states on quantum groups, Irreducible inclusions of factors and multiplicative unitaries, Idempotent states on Sekine quantum groups, Diaconis-Shahshahani upper bound lemma for finite quantum groups, Remarks on Sekine quantum groups

Cites Work

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• Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction
• Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the classical Yang-Baxter equations
• Matched pairs of Lie groups associated to solutions of the Yang-Baxter equations
• Classification of subfactors: The reduction to commuting squares
• Index for subfactors
• Classification of amenable subfactors of type II
• Semisimple Hopf algebras of dimension \(6\), \(8\)
• Matched pairs of groups and bismash products of hopf algebras
• CONSTRUCTION OF AN OUTER ACTION OF A FINITE-DIMENSIONAL KAC ALGEBRA ON THE AFD FACTOR OF TYPE II₁
• Finite Index Subfactors and Hopf Algebra Crossed Products