August 29, 2024Open Access

Doubled Hecke Algebras and Related Quantum Schur Duality

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Abstract

We introduce the doubled Hecke algebra, which is an infinite-dimensional algebra generated by two Hecke algebras. This concept originates from the degenerate doubled Hecke algebra in the theory of Schur-Weyl duality related to enhanced reductive algebraic groups. We study the finite-dimensional natural representation of the doubled Hecke algebra on tensor space and prove that the doubled Hecke algebra forms a duality with the quantum group of Levi type.

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Xue et al. (Thu,) studied this question.

synapsesocial.com/papers/68e5a6e4b6db643587540eb5 — DOI: https://doi.org/10.1142/s1005386724000312

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Authors

Chenliang Xue

East China Normal University

An Zhang

Chongqing University

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Algebra Colloquium

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East China Normal University

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Doubled Hecke Algebras and Related Quantum Schur Duality

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