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- W3014155346 abstract "We prove a Schur-Weyl duality between the quantum enveloping algebra of $mathfrak{gl}_m$ and certain quotient algebras of Ariki-Koike algebras, which we give explicitly. The duality involves several algebraically independent parameters and is realized through the tensor product of a parabolic universal Verma module and a tensor power of the natural representation of $mathfrak{gl}_m$. We also give a new presentation by generators and relations of the generalized blob algebras of Martin and Woodcock as well as an interpretation in terms of Schur-Weyl duality by showing they occur as a particular case of our algebras." @default.
- W3014155346 created "2020-04-10" @default.
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- W3014155346 date "2021-03-17" @default.
- W3014155346 modified "2023-09-27" @default.
- W3014155346 title "Schur–Weyl duality, Verma modules, and row quotients of Ariki–Koike algebras" @default.
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- W3014155346 doi "https://doi.org/10.2140/pjm.2021.311.113" @default.
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