A combinatorial outlook on symmetric functions
✍ Scribed by François Bergeron
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 440 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The structure of rational functions of two real variables which take few distinct values on large (finite) Cartesian products is described. As an application, a problem of G. Purdy is solved on finite subsets of the plane which determine few distinct distances.
Hanlon, P., A Markov chain on the symmetric group and Jack symmetric functions, Discrete Mathematics 99 (1992) 123-140. Diaconis and Shahshahani studied a Markov chain Wf(l) whose states are the elements of the symmetric group S,. In W,(l), you move from a permutation n to any permutation of the for
Koike, K., On a conjecture of Stanley on Jack symmetric functions, Discrete Mathematics 115 (1993) 211-216. The Jack symmetric function J,(x; G() is a symmetric function with interesting properties that J,(x; 2) is a spherical function of the symmetric pair (GL(n, FQ O(n, [w)) and that J,(x; 1) is