4 papers
math.RA2026
Affine Schur--Weyl theory for loop Semigroups and polynomial representations
Qiang Fu
Classical Schur--Weyl duality plays a fundamental role in the representation theory of general linear and symmetric groups. In this paper, we develop an affine Schur--Weyl theory f…
math.QA2026
Affine quantum Schur--Weyl duality
Qiang Fu, Jun Hu
Let $\mathpzc K$ be an arbitrary commutative ring containing an invertible element . Let ${\mathcal H}_{\!\vartriangle\!}(r)_{\mathpzc K}$ be the extended affine Hecke…
math.QA2026
Centers of quantum Schur superalgebras from Hecke algebras
Qiang Fu, Yingshan Luo, Chengquan Sun
We study the center of the quantum Schur superalgebra associated with the general linear Lie superalgebra . Using the super Schur--Weyl…
math.QA2026
Quantum current algebra : canonical bases and polynomial representations
Qiang Fu
We introduce a quantum deformation of the universal enveloping algebra of the current algebra , realized as a Hopf parabolic su…