The combinatorial quantum cohomology ring of $G/B$
| dc.creator | Mare, Augustin-Liviu | |
| dc.date | 2003-01-22 | |
| dc.date | 2003-11-18 | |
| dc.date.accessioned | 2026-07-07T04:54:38Z | |
| dc.date.available | 2026-07-07T04:54:38Z | |
| dc.description | A purely combinatorial construction of the quantum cohomology ring of the flag manifold $G/B$ is presented. We show that the ring we construct is commutative, associative and satisfies the usual grading condition. By using results of two of our previous papers, we obtain a presentation of this ring in terms of generators and relations, as well as formulas for quantum Giambelli polynomials. We show that these polynomials satisfy a certain orthogonality property, which - for G=SL_n(C) - was proved previously by Fomin, Gelfand and Postnikov. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0301257 | |
| dc.identifier | http://arxiv.org/abs/math/0301257 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66330 | |
| dc.subject | Combinatorics | |
| dc.subject | Representation Theory | |
| dc.subject | 05E15; 14N35 | |
| dc.title | The combinatorial quantum cohomology ring of $G/B$ | |
| dc.type | text |