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Derived equivalences for trigonometric double affine Hecke algebras
Wille Liu
The trigonometric double affine Hecke algebra for an irreducible root system depends on a family of complex parameters Given two families of parameters and $…
Knizhnik--Zamolodchikov functor for degenerate double affine Hecke algebras : algebraic theory
Wille Liu
In this article, we define an algebraic version of the Knizhnik--Zamolodchikov functor for the degenerate double affine Hecke algebras (a.k.a. trigonometric Cherednik algebras). We…
Bi-orbital sheaves and affine Hecke algebras at roots of unity
Wille Liu
Continuing the study of perverse sheaves on the nilpotent cone of a -graded Lie algebra initiated by Lusztig--Yun, we study in this work the parabolic induction and i…
Generalised Springer correspondence for Z/m-graded Lie algebras
Wille Liu
Let be a simple simply connected complex algebraic group and let be a -grading on its Lie algebra . In a recent series of articles,…