Hook-content formula using excited Young diagrams

Published 31 Mar 2019 in math.CO | (1904.00371v1)

Abstract: We construct a hook-content formula and its $q$-analog using excited Young diagrams analogous to Naruse's hook-length formula for skew shapes. Furthermore, we show that our hook-content formula has a simple factorization and give some conjectures and questions related to its $q$-analog.

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