Enumeration formulas for young tableaux in a diagonal strip

Yuliy Baryshnikov; Dan Romik

doi:10.1007/s11856-010-0061-6

Enumeration formulas for young tableaux in a diagonal strip

Yuliy Baryshnikov, Dan Romik

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

We derive combinatorial identities, involving the Bernoulli and Euler numbers, for the numbers of standard Young tableaux of certain skew shapes. This generalizes the classical formulas of D. André on the number of up-down permutations. The analysis uses a transfer operator approach extending the method of Elkies, combined with an identity expressing the volume of a certain polytope in terms of a Schur function.

Original language	English
Pages (from-to)	157-186
Number of pages	30
Journal	Israel Journal of Mathematics
Volume	178
Issue number	1
DOIs	https://doi.org/10.1007/s11856-010-0061-6
Publication status	Published - Dec 1 2010
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/s11856-010-0061-6

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