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

Authors :: Anne-Laure Thiel
Marco Mackaay
Source :: Quantum Topology. 8:113-203
Publication Year :: 2017
Publisher :: European Mathematical Society - EMS - Publishing House GmbH, 2017.
Abstract: We categorify the extended affine Hecke algebra and the affine quantum Schur algebra S(n, r) for 3

Subjects :: Double affine Hecke algebra
Pure mathematics
Categorification
010102 general mathematics
Type (model theory)
Schur algebra
01 natural sciences
Algebra
Diagrammatic reasoning
Affine representation
Mathematics::Quantum Algebra
Mathematics::Category Theory
Geometry and Topology
Affine transformation
0101 mathematics
Mathematics::Representation Theory
Mathematical Physics
Affine Hecke algebra
Mathematics

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