The combinatorial Radon transform modulo the symmetric group
β Scribed by Jan Boman; Ethan D Bolker; Patrick O'Neil
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 553 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
When \(k<n / 2\), the incidence matrix of rank- \(k\) versus rank- \((k+1)\) partitions in the partition lattice has maximum rank. 1993 Academic Press, Inc.
We give a detailed account of Cherednik's fusion process for the symmetric group using as a key tool the combinatorics of compatible orders on the set of inversions of permutations.
A mar.rix T =z (tik) is introduced, the coefficients of which are defined by tik : = (~kl(w9L,,~" Ui(X)k, i,kEN={1,2,3,.. . , }, where a;(x) denotes the number of i cycles in the element x of the symmetric group S,,. It is shown that "lese numbers are natural numbers, that they are easy to evaluate