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PreprintCC0arXiv

Schur--Weyl duality for coideal subalgebras of quantum affine superalgebras of type A

  • Weideng Cui
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Abstract

We extend the results of \cite{FLLLWW20} to the super setting. More precisely, we define two families of coideal sub-superalgebras of quantum affine superalgebras of type A, called jmath- and imath-quantum affine superalgebras respectively, and establish Schur--Weyl duality between them and affine Hecke algebras of type C.

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Cite

BibTeXRIS
BibTeX
@misc{cui2026schurweyl,
  title = {{Schur--Weyl duality for coideal subalgebras of quantum affine superalgebras of type $A$}},
  author = {Weideng Cui},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32480},
  eprint = {2610.32480},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32480},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Schur--Weyl duality for coideal subalgebras of quantum affine superalgebras of type A
AU  - Weideng Cui
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32480
UR  - https://arxiv.org/abs/2610.32480
AB  - We extend the results of \cite{FLLLWW20} to the super setting. More precisely, we define two families of coideal sub-superalgebras of quantum affine superalgebras of type A, called jmath- and imath-quantum affine superalgebras respectively, and establish Schur--Weyl duality between them and affine Hecke algebras of type C.
ER  -