New incompressible symmetric tensor categories in positive characteristic

DOI10.1215/00127094-2022-0030OpenAlexW3013702922MaRDI QIDQ2683546

Victor Ostrik, Pavel I. Etingof, David John Benson

Publication date: 13 February 2023

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10499

zbMATH Keywords

tensor categoryDeligne's theorem

Mathematics Subject Classification ID

Monoidal categories, symmetric monoidal categories (18M05)

Related Items (4)

Hypersurface support and prime ideal spectra for stable categories ⋮ \(\mathrm{SL}_2\) tilting modules in the mixed case ⋮ Homological kernels of monoidal functors ⋮ On Frobenius exact symmetric tensor categories

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Webs and quantum skew Howe duality
• On blocks of Deligne's category \(\underline {\text{Re}}\text p (S_t)\).
• Diagrams for modules
• On tilting modules for algebraic groups
• The Magma algebra system. I: The user language
• Tensor ideals, Deligne categories and invariant theory
• \(p\)-adic dimensions in symmetric tensor categories in characteristic \(p\)
• Examples of tensor categories
• Symmetric tensor categories in characteristic 2
• Monoidal abelian envelopes and a conjecture of Benson and Etingof
• On symmetric fusion categories in positive characteristic
• Tannakian categories in positive characteristic
• Ideals in Deligne's category \(\underline{\mathrm{Re}}\mathrm{p}(GL_{\delta})\)
• Cellular structures using \(U_q\)-tilting modules
• Module categories over representations of \(\text{SL}_q(2)\) in the non-semisimple case
• On the Frobenius functor for symmetric tensor categories in positive characteristic
• Non-cyclotomic fusion categories
• Deligne’s category \underline{𝑅𝑒}𝑝(𝐺𝐿_{𝛿}) and representations of general linear supergroups
• Schur–Weyl Duality for Deligne Categories
• Walking around the Brauer tree
• Hilbert Basis Theorem and Finite Generation of Invariants in Symmetric Tensor Categories in Positive Characteristic
• Diagrammatic methods for modular representations and cohomology
• Quivers for 𝑆𝐿₂ tilting modules
• Monoidal abelian envelopes
• Deligne Categories and the Limit of Categories Rep(GL(m|n))
• On Semisimplification of Tensor Categories
• Simple transitive 2-representations via (co)algebra 1-morphisms
• Tensor Categories
• Decomposition of tensor products of modular irreducibles for SL2

This page was built for publication: New incompressible symmetric tensor categories in positive characteristic