Cohomology of finite tensor categories: Duality and Drinfeld centers
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Publication:5036110
DOI10.1090/tran/8548zbMath1484.18011arXiv1807.08854OpenAlexW2883899768MaRDI QIDQ5036110
Cris Negron, Julia Yael Plavnik
Publication date: 23 February 2022
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.08854
Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Hopf algebras, quantum groups and related topics (16T99)
Related Items (7)
Hypersurface support and prime ideal spectra for stable categories ⋮ The differential graded Verlinde formula and the Deligne Conjecture ⋮ Separable equivalences, finitely generated cohomology and finite tensor categories ⋮ Support theory for Drinfeld doubles of some infinitesimal group schemes ⋮ Homotopy invariants of braided commutative algebras and the Deligne conjecture for finite tensor categories ⋮ New approaches to finite generation of cohomology rings ⋮ Support varieties for finite tensor categories: complexity, realization, and connectedness
Cites Work
- Unnamed Item
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- Unnamed Item
- Exact sequences of tensor categories with respect to a module category
- Yetter-Drinfeld modules under cocycle twists.
- Quantum groups at roots of 1
- Finite generation of cohomology for Drinfeld doubles of finite group schemes
- Centers of graded fusion categories
- On the classification of finite-dimensional pointed Hopf algebras.
- On braided fusion categories. I
- Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
- Homological coalgebra
- Cohomology of quantum groups at roots of unity
- Invariant theory
- Braided tensor categories
- Cohomology of finite group schemes over a field
- Module categories, weak Hopf algebras and modular invariants
- Cohomology for Drinfeld doubles of some infinitesimal group schemes
- Finite generation of some cohomology rings via twisted tensor product and Anick resolutions
- On the structure and cohomology ring of connected Hopf algebras
- Twisting of quantum differentials and the Planck scale Hopf algebra
- Exchange dynamical quantum groups
- Dynamical quantum groups at roots of 1
- From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors
- From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories
- On the structure of the Witt group of braided fusion categories
- Premodular categories, modularisations and invariants of 3-manifolds
- Galois theory for braided tensor categories and the modular closure
- Non-degeneracy conditions for braided finite tensor categories
- Module categories over affine group schemes
- On module categories over finite-dimensional Hopf algebras.
- On fusion categories.
- Log-modular quantum groups at even roots of unity and the quantum Frobenius I
- On Nichols algebras of diagonal type
- Cohomology for quantum groups via the geometry of the nullcone
- Fermionic modular categories and the 16-fold way
- Hopf Algebras
- Exact Sequences of Tensor Categories
- R-matrices and Hopf algebra quotients
- Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
- A Hopf Algebra Freeness Theorem
- Multiplication alteration by two-cocycles - the quantum version
- Support varieties for infinitesimal group schemes
- Small quantum groups associated to Belavin-Drinfeld triples
- The Hilton-Heckmann argument for the anti-commutativity of cup products
- Explicit quantization of dynamical r-matrices for finite dimensional semisimple Lie algebras
- Cohomology of finite-dimensional pointed Hopf algebras
- Tensor Categories
- Dynamical Twists in Hopf Algebras
- Quantum groupoids
- Triangular Hopf algebras with the Chevalley property
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