Monoidal abelian envelopes with a quotient property

DOI10.1515/crelle-2022-0076zbMath1504.18014arXiv2103.00094OpenAlexW3134268779MaRDI QIDQ2112361

Kevin Coulembier, Bregje Pauwels, Victor Ostrik, Pavel I. Etingof

Publication date: 10 January 2023

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.00094

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Group schemes (14L15) Generalizations (algebraic spaces, stacks) (14A20) Monoidal categories, symmetric monoidal categories (18M05)

Related Items

A universal rigid abelian tensor category ⋮ Homological kernels of monoidal functors ⋮ On Frobenius exact symmetric tensor categories ⋮ Exactness and faithfulness of monoidal functors

Cites Work

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• Tensor products of finitely cocomplete and abelian categories
• Semi simplicity of tensor products in characteristic \(p\)
• Motives, numerical equivalence, and semi-simplicity
• Tensor products of quantized tilting modules
• On tilting modules for algebraic groups
• Algebraic homogeneous spaces and invariant theory
• The strong linkage principle for quantum groups at roots of 1.
• Symmetric tensor categories in characteristic 2
• Triangle presentations and tilting modules for \(\operatorname{SL}_{2k+1}\)
• Nilpotence, radicals and monoidal structures. With an appendix by Peter O'Sullivan.
• On Deligne's category \(\underline{\mathrm{Rep}}^{\mathrm{ab}}(S_d)\)
• On the Frobenius functor for symmetric tensor categories in positive characteristic
• Triangulated Categories
• Monoidal abelian envelopes
• Deligne Categories and the Limit of Categories Rep(GL(m|n))
• Freely adjoining monoidal duals
• Tensor Categories
• Extensions of Representations of Algebraic Linear Groups