Derived counterparts of fusion categories of quantum groups
DOI10.1016/J.JALGEBRA.2020.07.004zbMath1455.17014arXiv1711.03222OpenAlexW2767276673MaRDI QIDQ2197560
Publication date: 1 September 2020
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.03222
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Homological algebra in category theory, derived categories and functors (18G99) Fusion categories, modular tensor categories, modular functors (18M20) Braided monoidal categories and ribbon categories (18M15)
Cites Work
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- Higher Auslander-Reiten sequences and \(t\)-structures.
- Tensor products of quantized tilting modules
- Spherical categories
- Indecomposable restricted representations of quantum \(sl_ 2\)
- A counterpart of the Verlinde algebra for the small quantum group.
- \(p\)-adic dimensions in symmetric tensor categories in characteristic \(p\)
- Another realization of the category of modules over the small quantum group
- The strong linkage principle for quantum groups at roots of 1.
- Fusion categories arising from semisimple Lie algebras
- Tensor triangular geometry for classical Lie superalgebras
- Cellular structures using \(U_q\)-tilting modules
- Representations of quantum algebras
- Triangulated Categories
- Injective Modules for Quantum Algebras
- Left triangulated categories arising from contravariantly finite subcategories
- The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
- From Hopf Algebras to Tensor Categories
- On the Freyd categories of an additive category
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