Schubert Polynomials and Quiver Formulas
| dc.creator | Buch, Anders Skovsted | |
| dc.creator | Kresch, Andrew | |
| dc.creator | Tamvakis, Harry | |
| dc.creator | Yong, Alexander | |
| dc.date | 2002-11-19 | |
| dc.date.accessioned | 2026-07-07T06:25:56Z | |
| dc.date.available | 2026-07-07T06:25:56Z | |
| dc.description | The work of Buch and Fulton established a formula for a general kind of degeneracy locus associated to an oriented quiver of type $A$. The main ingredients in this formula are Schur determinants and certain integers, the quiver coefficients, which generalize the classical Littlewood-Richardson coefficients. Our aim in this paper is to prove a positive combinatorial formula for the quiver coefficients when the rank conditions defining the degeneracy locus are given by a permutation. In particular, this gives new expansions for Fulton's universal Schubert polynomials and the Schubert polynomials of Lascoux and Schützenberger. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0211300 | |
| dc.identifier | http://arxiv.org/abs/math/0211300 | |
| dc.identifier | Duke Math Journal, Volume 122, Issue 1, 125-143 (2004) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96971 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | 05E15; 14M15 | |
| dc.title | Schubert Polynomials and Quiver Formulas | |
| dc.type | text |