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A matrix of combinatorial numbers related to the symmetric groups

✍ Scribed by Michael Klemm; Bernd Wagner

Book ID
107748302
Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
495 KB
Volume
28
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES

A matrix of combinatorial numbers relate
A matrix of combinatorial numbers related to the symmetric groups
✍ Adalbert Kerber πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 440 KB

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

A Combinatorial Approach to the Fusion P
A Combinatorial Approach to the Fusion Process for the Symmetric Group
✍ Valentina Guizzi; Paolo Papi πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 164 KB

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 Combinatorial Approach to the Double C
A Combinatorial Approach to the Double Cosets of the Symmetric Group with respect to Young Subgroups
✍ Andrew R. Jones πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 247 KB

Combinatorial methods are employed to study the double cosets of the symmetric group S n with respect to Young subgroups H and K . The current paper develops a correspondence between these double cosets and certain lists of integers . This approach leads naturally to an algorithm for computing the n