Q-hook formula of Gansner type for a generalized Young diagram

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5 Citations (Scopus)

Abstract

The purpose of this paper is to present the q-hook formula of Gansner type for a generalized Young diagram in the sense of D. Peterson and R. A. Proctor. This gives a far-reaching generalization of a hook length formula due to J. S. Frame, G. de B. Robinson, and R. M. Thrall. Furthurmore, we give a generalization of P. MacMahon's identity as an application of the q-hook formula.

Original languageEnglish
Pages685-696
Number of pages12
Publication statusPublished - Dec 1 2009
Externally publishedYes
Event21st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'09 - Linz, Austria
Duration: Jul 20 2009Jul 24 2009

Other

Other21st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'09
CountryAustria
CityLinz
Period7/20/097/24/09

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Keywords

  • Generalized Young diagrams
  • Kac-Moody Lie algebra
  • P. MacMahon's identity
  • Q-hook formula
  • Trace generating functions

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Nakada, K. (2009). Q-hook formula of Gansner type for a generalized Young diagram. 685-696. Paper presented at 21st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'09, Linz, Austria.