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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…