Monoidal abelian envelopes

DOI10.1112/S0010437X21007399zbMath1471.18020arXiv2003.10105OpenAlexW3174483344MaRDI QIDQ5001963

Kevin Coulembier

Publication date: 26 July 2021

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10105

zbMATH Keywords

tensor categorytilting moduleabelian envelopeuniversal monoidal category

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Grothendieck topologies and Grothendieck topoi (18F10) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (9)

A universal rigid abelian tensor category ⋮ The indecomposable objects in the center of Deligne's category Re̲pSt$\protect\underline{{\rm Re}}\!\operatorname{p}S_t$ ⋮ Additive Grothendieck pretopologies and presentations of tensor categories ⋮ New incompressible symmetric tensor categories in positive characteristic ⋮ Homological kernels of monoidal functors ⋮ Semi-Infinite Highest Weight Categories ⋮ On Frobenius exact symmetric tensor categories ⋮ Monoidal abelian envelopes with a quotient property ⋮ Monoidal abelian envelopes and a conjecture of Benson and Etingof

Cites Work

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• The first fundamental theorem of invariant theory for the orthosymplectic supergroup
• Thick ideals in Deligne's category \(\underline{\mathrm{Re}}\mathrm{p}(O_\delta)\)
• Representations of the Lie superalgebras \({\mathfrak gl}(n,m)\) and Q(n) on the space of tensors
• Tensor ideals, Deligne categories and invariant theory
• On the second fundamental theorem of invariant theory for the orthosymplectic supergroup
• Symmetric tensor categories in characteristic 2
• On symmetric fusion categories in positive characteristic
• Constructing colimits by gluing vector bundles
• Tannakian categories in positive characteristic
• Nilpotence, radicals and monoidal structures. With an appendix by Peter O'Sullivan.
• Mixed tensors of the general linear supergroup
• On Deligne's category \(\underline{\mathrm{Rep}}^{\mathrm{ab}}(S_d)\)
• Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
• A reflection theorem for closed categories
• On the Frobenius functor for symmetric tensor categories in positive characteristic
• Finite symmetric tensor categories with the Chevalley property in characteristic 2
• Deligne Categories and the Limit of Categories Rep(GL(m|n))

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