2 papers
math.QA2025
Wreath Macdonald operators
Daniel Orr, Mark Shimozono, Joshua Jeishing Wen
We construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald -polynomials; the eigenvalues are written in terms o…
math.RT2025
Peter-Weyl theorem for Iwahori groups and highest weight categories
Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi +1
We study the algebra of functions on the Iwahori group via the category of graded bounded representations of its Lie algebra. In particular, we identify the standard and costandard…