Knizhnik–Zamolodchikov functor for degenerate double affine Hecke algebras: algebraic theory

نویسندگان

چکیده

In this article, we define an algebraic version of the Knizhnik–Zamolodchikov (KZ) functor for degenerate double affine Hecke algebras (a.k.a. trigonometric Cherednik algebras). We compare it with KZ monodromy constructed by Varagnolo–Vasserot. prove centraliser property our and give a characterisation its kernel. establish these results family algebras, called quiver which includes as special cases.

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ژورنال

عنوان ژورنال: Representation Theory of The American Mathematical Society

سال: 2022

ISSN: ['1088-4165']

DOI: https://doi.org/10.1090/ert/614