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math.QA2021
Inverse -Chevalley formulas for semi-infinite flag manifolds, II: arbitrary weights in ADE type
Cristian Lenart, Satoshi Naito, Daniel Orr +1
We continue the study, begun in [Kouno-Naito-Orr-Sagaki, 2021], of inverse Chevalley formulas for the equivariant -group of semi-infinite flag manifolds. Using the language of a…
math.QA2018
Chevalley formula for anti-dominant weights in the equivariant -theory of semi-infinite flag manifolds
Satoshi Naito, Daniel Orr, Daisuke Sagaki
We prove a Pieri-Chevalley formula for anti-dominant weights and also a Monk formula in the torus-equivariant -group of the formal power series model of semi-infinite flag manif…
math.QA2013
Nonsymmetric difference Whittaker functions
Ivan Cherednik, Daniel Orr
Starting with nonsymmetric global difference spherical functions, we define and calculate spinor (nonsymmetric) global q-Whittaker functions for arbitrary reduced root systems, whi…