$q$-Hook formula of Gansner type for a generalized Young diagram

$q$-Hook formula of Gansner type for a generalized Young diagram

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...

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Bibliographic Details
Main Author: Kento Nakada
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2009-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
generalized young diagrams
trace generating functions
$q$-hook formula
kac-moody lie algebra
p. macmahon's identity
[math.math-co] mathematics [math]/combinatorics [math.co]
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Online Access:https://dmtcs.episciences.org/2684/pdf

Internet

https://dmtcs.episciences.org/2684/pdf

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