✦ LIBER ✦
Edge Sequences, Ribbon Tableaux, and an Action of Affine Permutations
✍ Scribed by M.A.A. van Leeuwen
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 293 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
✦ Synopsis
An overview is provided of some of the basic facts concerning rim hook lattices and ribbon tableaux, using a representation of partitions by their edge sequences. An action is defined for the affine Coxeter group of type Ãr-1 on the r -rim hook lattice, and thereby on the sets of standard and semistandard r -ribbon tableaux, and this action is related to the concept of chains in r -ribbon tableaux.