English

Schur-Weyl duality for quantum toroidal superalgebras

Quantum Algebra 2023-08-01 v3 Representation Theory

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.

Keywords

Cite

@article{arxiv.2109.09005,
  title  = {Schur-Weyl duality for quantum toroidal superalgebras},
  author = {Kang Lu},
  journal= {arXiv preprint arXiv:2109.09005},
  year   = {2023}
}

Comments

17 pages; v3 a new Proposition 2.7 to fix a gap in the proof of Proposition 2.9; to appear in Journal of Pure and Applied Algebra

R2 v1 2026-06-24T06:06:22.156Z