Jang Soo Kim ; Suho Oh - The Selberg integral and Young books

dmtcs:2408 - Discrete Mathematics & Theoretical Computer Science, January 1, 2014, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) - https://doi.org/10.46298/dmtcs.2408
The Selberg integral and Young books

Authors: Jang Soo Kim 1; Suho Oh 2

  • 1 Department of Mathematics [Suwon]
  • 2 University of Michigan [Ann Arbor]

The Selberg integral is an important integral first evaluated by Selberg in 1944. Stanley found a combinatorial interpretation of the Selberg integral in terms of permutations. In this paper, new combinatorial objects "Young books'' are introduced and shown to have a connection with the Selberg integral. This connection gives an enumeration formula for Young books. It is shown that special cases of Young books become standard Young tableaux of various shapes: shifted staircases, squares, certain skew shapes, and certain truncated shapes. As a consequence, enumeration formulas for standard Young tableaux of these shapes are obtained.


Volume: DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
Section: Proceedings
Published on: January 1, 2014
Imported on: November 21, 2016
Keywords: Selberg integral,standard Young tableau,hook length formula,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]

Linked publications - datasets - softwares

Source : ScholeXplorer IsRelatedTo DOI 10.1016/0097-3165(81)90053-4
  • 10.1016/0097-3165(81)90053-4
Two combinatorial applications of the Aleksandrov-Fenchel inequalities

Consultation statistics

This page has been seen 188 times.
This article's PDF has been downloaded 171 times.