Hook-content formula using excited Young diagrams

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.

6 pages

References in corpus (1)

• Hook formulas for skew shapes I. $q$-analogues and bijections

Cited by in corpus (1)

• Enumeration of bounded lecture hall tableaux