Representation theory in complex rank. II

DOI10.1016/j.aim.2016.03.025zbMath1403.20055arXiv1407.0373OpenAlexW2963984725MaRDI QIDQ304100

Pavel I. Etingof

Publication date: 23 August 2016

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

Full work available at URL: https://arxiv.org/abs/1407.0373

zbMATH Keywords

complex rankDeligne categorysymmetric tensor category

Mathematics Subject Classification ID

Related Items (18)

Categorical actions and multiplicities in the Deligne category \(\underline{Rep}(G L_t)\) ⋮ Indecomposable objects of \(\underline{Rep}(GL_t)\) in terms of exterior powers of the tautological object and its dual ⋮ The indecomposable objects in the center of Deligne's category Re̲pSt$\protect\underline{{\rm Re}}\!\operatorname{p}S_t$ ⋮ Weyl-Kac character formula for affine Lie algebras in Deligne's categories ⋮ Gaudin model and Deligne's category ⋮ The centralizer construction and Yangian-type algebras ⋮ New realizations of deformed double current algebras and Deligne categories ⋮ Koszul duality and the PBW theorem in symmetric tensor categories in positive characteristic ⋮ On representation categories of wreath products in non-integral rank ⋮ Sums of binomial coefficients evaluated at \(\alpha\in\overline{\mathbb{Q}}\), and applications ⋮ Classification of simple algebras in the Deligne category \(\operatorname{Rep}(S_t)\) ⋮ Deligne categories and the periplectic Lie superalgebra ⋮ Stable Grothendieck rings of wreath product categories ⋮ Classification of all 3 particle S-matrices quadratic in photons or gravitons ⋮ Deligne categories in lattice models and quantum field theory, \textit{or} making sense of O(N) symmetry with non-integer N ⋮ Dimensional interpolation and the Selberg integral ⋮ The spin-Brauer diagram algebra ⋮ Harish-Chandra bimodules in the Deligne category \(\mathrm{Rep}(\mathrm{GL}_t)\)

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