The theory of Schur-Weyl duality has had a profound influence over many areas of algebra
and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras …

We establish algebraically and geometrically a duality between the Iwahori-Hecke algebra
of type $\mathbf D $ and two new quantum algebras arising from the geometry of $ N $-step …

We relate the filtration by the support on the Grothendieck group $[\mathcal {O}] $ of the
category $\mathcal {O} $ of cyclotomic rational double affine Hecke algebras to a …

In this paper we categorify the q-Schur algebra Sq. n; d/as a quotient of Khovanov and
Lauda's diagrammatic 2-category U. sln/[16]. We also show that our 2-category contains …

We define a ribbon category Sp (β), depending on a parameter β, which encompasses
Cautis, Kamnitzer and Morrison's spider category, and describes for β= m− n the monoidal …

In this paper we use Kuperberg's sl _3 sl 3-webs and Khovanov's sl _3 sl 3-foams to define a
new algebra K^ S KS, which we call the sl _3 sl 3-web algebra. It is the sl _3 sl 3 analogue of …

We obtain a presentation by generators and relations for generalized Schur algebras and
their quantizations. This extends earlier results obtained in the type $ A $ case. The …

Using the Beilinson-Lusztig-MacPherson construction of the quantized enveloping algebra
of $\mathfrak {gl} _n $ and its associated monomial basis, we investigate $ q $-Schur …

We first follow De Concini and Kac [in: A. Connes, M. Dulfo, A. Joseph, R. Rentshler (Eds.),
Operator Algebras, Unitary Representations, Enveloping Algebras and Invariant Theory …

We establish classical and categorical Howe dualities between the Lie superalgebras p ( m
) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} …