Hook-content formula using excited Young diagrams

2019/03/31 by Kirillov, Anatol N., Scrimshaw, Travis
#05A10 #05A17 #05E10 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.00371

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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