Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry (2017). A Giambelli formula for isotropic Grassmannians. Selecta Mathematica, 23(2):869-914.
Let $X$ be a symplectic or odd orthogonal Grassmannian. We prove a Giambelli formula which expresses an arbitrary Schubert class in $H^{∗}(X,Z)$ as a polynomial in certain special Schubert classes. This polynomial, which we call a theta polynomial, is defined using raising operators, and we study its image in the ring of Billey–Haiman Schubert polynomials.
Let $X$ be a symplectic or odd orthogonal Grassmannian. We prove a Giambelli formula which expresses an arbitrary Schubert class in $H^{∗}(X,Z)$ as a polynomial in certain special Schubert classes. This polynomial, which we call a theta polynomial, is defined using raising operators, and we study its image in the ring of Billey–Haiman Schubert polynomials.
| Item Type: | Journal Article, not_refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics
Physical Sciences > General Physics and Astronomy |
| Language: | English |
| Date: | April 2017 |
| Deposited On: | 22 May 2017 16:29 |
| Last Modified: | 26 Jan 2022 12:57 |
| Publisher: | Birkhäuser |
| ISSN: | 1022-1824 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00029-016-0250-1 |
Buch, Anders Skovsted