Schur-Weyl duality for quantum toroidal superalgebras
Kang Lu
TL;DR
This paper extends the classical Schur-Weyl duality to the setting of quantum toroidal superalgebras, linking these algebraic structures with double affine Hecke algebras.
Contribution
It generalizes the known duality between double affine Hecke algebras and quantum toroidal algebras to include superalgebras.
Findings
Established Schur-Weyl duality for quantum toroidal superalgebras and double affine Hecke algebras.
Generalized Vasserot-Varagnolo's result to the super case.
Provides a new framework for studying representations of superalgebras.
Abstract
We establish the Schur-Weyl type duality between double affine Hecke algebras and quantum toroidal superalgebras, generalizing the well known result of Vasserot-Varagnolo [VV96] to the super case.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons