Hall–Littlewood polynomials and fixed point enumeration
✍ Scribed by Brendon Rhoades
- Book ID
- 108114193
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 508 KB
- Volume
- 310
- Category
- Article
- ISSN
- 0012-365X
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📜 SIMILAR VOLUMES
A family of vertex operators that generalizes those given by Jing for the Hall Littlewood symmetric functions is presented. These operators produce symmetric functions related to the Poincare polynomials referred to as generalized Kostka polynomials in the same way that Jing's operator produces symm
We give some applications of our recent work [10] about Hall-Littlewood functions at roots of unity. In particular, we prove the two conjectures of N. Sultana [17] on specializations of Green polynomials, and we generalize classical results concerning characters of the symmetric group induced by max