Tannaka-Krein duality for Hopf algebroids

DOI10.1007/s11856-008-1047-5zbMath1169.18003arXivmath/0206113OpenAlexW2110728416MaRDI QIDQ1001407

Phùng Hô` Hài

Publication date: 17 February 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206113

zbMATH Keywords

Hopf algebroidTannaka dualitycoalgebroiddouble bimodulefibre functor

Mathematics Subject Classification ID

Related Items (17)

Tannaka-Kreǐn reconstruction and a characterization of modular tensor categories ⋮ Duality features of left Hopf algebroids ⋮ Quantum Galois groups of subfactors ⋮ Multiplier Hopf algebroids: Basic theory and examples ⋮ Isotropy quotients of Hopf algebroids and the fundamental groupoid of digraphs ⋮ A Tannakian context for Galois theory ⋮ Centres, trace functors, and cyclic cohomology ⋮ Skew-monoidal categories and bialgebroids. ⋮ On the finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory. ⋮ CATEGORIES OF COMODULES AND CHAIN COMPLEXES OF MODULES ⋮ The Tannaka representation theorem for separable Frobenius functors ⋮ Coalgebroids in monoidal bicategories and their comodules ⋮ Hopf Algebroids ⋮ Module categories of finite Hopf algebroids, and self-duality ⋮ Non-cyclotomic fusion categories ⋮ Partial compact quantum groups ⋮ Comodules over weak multiplier bialgebras

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