Name
Abstract | ||
|---|---|---|
We study the class C of symmetric functions whose coefficients in the Schur basis can be described by generating functions for sets of tableaux with fixed shape. Included in this class are the Hall-Littlewood polynomials, k-Schur functions, and Stanley symmetric functions; functions whose Schur coefficients encode combinatorial, representation theoretic and geometric information. While Schur functions represent the cohomology of the Grassmannian variety of GL(n), Grothendieck functions {G(lambda)} represent the K-theory of the same space. In this paper, we give a combinatorial description of the coefficients when any element of C is expanded in the G-basis or the basis dual to {G(lambda)}. |
Year | Venue | DocType |
|---|---|---|
2012 | ELECTRONIC JOURNAL OF COMBINATORICS | Journal |
Volume | Issue | ISSN |
19.0 | 4.0 | 1077-8926 |
Citations | PageRank | References |
2 | 0.53 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jason Bandlow | 1 | 25 | 4.10 |
| J. Morse | 2 | 8 | 2.22 |