Name
Abstract | ||
|---|---|---|
A new fermionic formula for the unrestricted Kostka polynomials of type An-1(1) is presented. This formula is different from the one given by Hatayama et al. and is valid for all crystal paths based on Kirillov-Reshetikhin modules, not just for the symmetric and antisymmetric case. The fermionic formula can be interpreted in terms of a new set of unrestricted rigged configurations. For the proof a statistics preserving bijection from this new set of unrestricted rigged configurations to the set of unrestricted crystal paths is given which generalizes a bijection of Kirillov and Reshetikhin. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.jcta.2006.01.003 | J. Comb. Theory, Ser. A |
Keywords | Field | DocType |
unrestricted crystal path,rigged configurations,fermionic formula,crystal path,type an-1,kostka polynomials,antisymmetric case,kirillov-reshetikhin module,new fermionic formula,crystal bases,unrestricted kostka polynomial,fermionic formulas,new set,quantum algebra | Kostka number,Discrete mathematics,Combinatorics,Bijection,Polynomial,Antisymmetric relation,Mathematics | Journal |
Volume | Issue | ISSN |
113 | 7 | Journal of Combinatorial Theory, Series A |
Citations | PageRank | References |
5 | 1.00 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lipika Deka | 1 | 9 | 2.16 |
| Anne Schilling | 2 | 17 | 6.74 |