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math.CO2018
Bases of the quantum matrix bialgebra and induced sign characters of the Hecke algebra
Ryan Kaliszewski, Justin Lambright, Mark Skandera
We combinatorially describe entries of the transition matrices which relate monomial bases of the zero-weight space of the quantum matrix bialgebra. This description leads to a com…
math.CO2017
Colorful combinatorics and Macdonald polynomials
Ryan Kaliszewski, Jennifer Morse
The non-negative integer cocharge statistic on words was introduced in the 1970's by Lascoux and Schützenberger to combinatorially characterize the Hall-Littlewood polynomials. Coc…