Deligne categories and representations of the infinite symmetric group

DOI10.1016/j.aim.2019.01.041zbMath1407.05243arXiv1706.03645OpenAlexW2964079397MaRDI QIDQ1731554

Daniel Barter, Thorsten Heidersdorf, Inna Entova Aizenbud

Publication date: 13 March 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.03645

zbMATH Keywords

symmetric grouptensor categoriesstable representation theoryFI-modulesDeligne categoriesrepresentations of the infinite symmetric group

Mathematics Subject Classification ID

Related Items (3)

The indecomposable objects in the center of Deligne's category Re̲pSt$\protect\underline{{\rm Re}}\!\operatorname{p}S_t$ ⋮ Classification of simple algebras in the Deligne category \(\operatorname{Rep}(S_t)\) ⋮ VI-modules in non-describing characteristic. II

Cites Work

• Deligne categories and reduced Kronecker coefficients
• Schur-Weyl duality for Deligne categories. II: The limit case
• On blocks of Deligne's category \(\underline {\text{Re}}\text p (S_t)\).
• Stability in the homology of congruence subgroups.
• FI-modules and stability for representations of symmetric groups
• On Deligne's category \(\underline{\mathrm{Rep}}^{\mathrm{ab}}(S_d)\)
• GL-equivariant modules over polynomial rings in infinitely many variables
• STABILITY PATTERNS IN REPRESENTATION THEORY
• Schur–Weyl Duality for Deligne Categories
• THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$
• Tensor Categories
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