Skew Divided Difference Operators and Schubert Polynomials
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Skew Divided Difference Operators and Schubert Polynomials
|
|
| Creator |
Kirillov, A.N.
|
|
| Description |
We study an action of the skew divided difference operators on the Schubert polynomials and give an explicit formula for structural constants for the Schubert polynomials in terms of certain weighted paths in the Bruhat order on the symmetric group. We also prove that, under certain assumptions, the skew divided difference operators transform the Schubert polynomials into polynomials with positive integer coefficients.
|
|
| Date |
2019-02-14T14:43:14Z
2019-02-14T14:43:14Z 2007 |
|
| Type |
Article
|
|
| Identifier |
Skew Divided Difference Operators and Schubert Polynomials / A.N. Kirillov // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 12 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 05E15; 05E05 http://dspace.nbuv.gov.ua/handle/123456789/147361 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|