Categorifications of the extended affine Hecke algebra and the affine \(q\)-Schur algebra \(\widehat {\mathbf S} (n,r)\) for \(3 \leq r < n\)

DOI10.4171/QT/88zbMath1402.20060arXiv1302.3102MaRDI QIDQ528809

Marco Mackaay, Anne-Laure Thiel

Publication date: 16 May 2017

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3102

zbMATH Keywords

affine Hecke algebrasquantum algebracategorificationaffine \(q\)-Schur algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Grothendieck groups, (K)-theory, etc. (16E20) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Quantum groups (quantized function algebras) and their representations (20G42) Graded rings and modules (associative rings and algebras) (16W50) Schur and (q)-Schur algebras (20G43)

Related Items (6)

Hecke action on the principal block ⋮ The trace of the affine Hecke category ⋮ Evaluation birepresentations of affine type \(A\) Soergel bimodules ⋮ Isotypic faithful 2-representations of \(\mathcal J\)-simple fiat 2-categories ⋮ Categorical action of the extended braid group of affine type A ⋮ Presenting affine Schur algebras

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