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math.RT2025
Geometric realizations of affine Hecke algebras with unequal parameters
Jonas Antor
We give a -theoretic realization of all affine Hecke algebras with two unequal parameters including exceptional types. This extends the celebrated work of Kazhdan and Lusztig, w…
math.RT2023
Canonical bases via pairing monomials
Jonas Antor
For any quantum group of finite ADE type, we prove a new formula for the standard bilinear form evaluated at monomials. Combining this with ideas from the Lusztig-Shoji algorithm,…
math.RT2023
Formality in the Deligne-Langlands correspondence
Jonas Antor
The Deligne-Langlands correspondence parametrizes irreducible representations of the affine Hecke algebra by certain perverse sheaves. We show that this…