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math.CO2021★ 1 cited
A combinatorial model for the transition matrix between the Specht and web bases
Byung-Hak Hwang, Jihyeug Jang, Jaeseong Oh
We introduce a new class of permutations, called web permutations. Using these permutations, we provide a combinatorial interpretation for entries of the transition matrix between…
math.CO2021
Macdonald polynomials and cyclic sieving
Jaeseong Oh
The Garsia--Haiman module is a bigraded -module whose Frobenius image is a Macdonald polynomial. The method of orbit harmonics promotes an -set …