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 language | English |
|---|---|
| Pages | 685-696 |
| Number of pages | 12 |
| Publication status | Published - Dec 1 2009 |
| Externally published | Yes |
| Event | 21st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'09 - Linz, Austria Duration: Jul 20 2009 → Jul 24 2009 |
Other
| Other | 21st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'09 |
|---|---|
| Country/Territory | Austria |
| City | Linz |
| Period | 7/20/09 → 7/24/09 |
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