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math.RT2023
Quantum Character Theory
Sam Gunningham, David Jordan, Monica Vazirani
We develop a -analogue of the theory of conjugation equivariant -modules on a complex reductive group . In particular, we define quantum Hotta-Kashiwara…
math.CO2023
Higher rank -Catalan polynomials, affine Springer fibers, and a finite Rational Shuffle Theorem
Nicolle González, José Simental, Monica Vazirani
We introduce the higher rank -Catalan polynomials and prove they equal truncations of the Hikita polynomial to a finite number of variables. Using affine compositions and a…