Reflection length with two parameters in the asymptotic representation theory of type B/C and applications

Marek Bożejko, Maciej Dołęga, Wiktor Ejsmont +1

We introduce a two-parameter function ${\varphi }_{q_{+},q_{-}}$ on the infinite hyperoctahedral group, which is a bivariate refinement of the reflection length keeping track of the long and th…