2 papers
math.RT2026
Rank recursion for -Whittaker and Macdonald operators
Philippe Di Francesco, Hieu Trung Vu
In this paper, we introduce and prove a set of rank recurrence relations for -Whittaker and Macdonald operators. We also derive an explicit expression for the -th power of th…
math.RT2024
Cluster structure on genus 2 spherical DAHA: seven-colored flower
Semeon Arthamonov, Leonid Chekhov, Philippe Di Francesco +4
We construct an embedding of the Arthamonov-Shakirov algebra of genus 2 knot operators into the quantized coordinate ring of the cluster Poisson variety of exceptional finite mutat…