3 papers
math.CO2025
The -deformed random-to-random family in the Hecke algebra
Sarah Brauner, Patricia Commins, Darij Grinberg +1
We generalize Reiner--Saliola--Welker's well-known but mysterious family of *-random-to-random shuffles* from Markov chains on symmetric groups to Markov chains on the Type-…
math.CO2025
Spectrum of random-to-random shuffling in the Hecke algebra
Ilani Axelrod-Freed, Sarah Brauner, Judy Hsin-Hui Chiang +2
We generalize random-to-random shuffling from a Markov chain on the symmetric group to one on the Type A Iwahori Hecke algebra, and show that its eigenvalues are polynomials in q w…
math.CO2025
Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements
Jose Bastidas, Sarah Brauner, Mathieu Guay-Paquet +3
Given a permutation, there is a well-developed literature studying the number of ways one can factor it into a product of other permutations subject to certain conditions. We initi…