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Quantum super Schur--Weyl duality and character formulas for mirabolic Hecke algebras

Jing, Naihuan et al.
arXiv (All) · Papers
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05e10combinatoricsquantum-algebrarepresentation-theory
We establish a quantum super Schur--Weyl duality for the mirabolic Hecke algebra \(H_n^{\mathrm{mir}}(q)\) with \(q\) indeterminate and determine the corresponding bimodule decomposition. The centralizer of the mirabolic action is shown as a direct sum of homogeneous quantum Schur superalgebras. We
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