A new symmetrical combinatorial ldentity
β Scribed by H.W Gould
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 329 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The main aim of this article is to give a combinatorial method for computing the Fischer matrices of the generalised symmetric group. It is shown that generalised Young tableaux and tabloids play a crucial role in the calculation of the Fischer matrices. In particular, a recursive method which is si
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
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.