Bott-Samelson Varieties and Configuration Spaces
| dc.creator | Magyar, Peter M. | |
| dc.date | 1996-11-16 | |
| dc.date.accessioned | 2026-07-07T09:07:04Z | |
| dc.date.available | 2026-07-07T09:07:04Z | |
| dc.description | We give a new construction of the Bott-Samelson variety $Z$ as the closure of a $B$-orbit in a product of flag varieties $(G/B)^l$. This also gives an embedding of the projective coordinate ring of the variety into the function ring of a Borel subgroup: $\CC[Z] \subset \CC[B]$. In the case of the general linear group $G = GL(n)$, this identifies $Z$ as a configuration variety of multiple flags subject to certain inclusion conditions, closely related to the the matrix factorizations of Berenstein, Fomin and Zelevinsky. As an application, we give a geometric proof of the theorem of Kraskiewicz and Pragacz that Schubert polynomials are characters of Schubert modules. Our work leads on the one hand to a Demazure character formula for Schubert polynomials and other generalized Schur functions, and on the other hand to a Standard Monomial Theory for Bott-Samelson varieties. | |
| dc.description | email address pmagyar@lynx.neu.edu LaTeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9611019 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9611019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150239 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Bott-Samelson Varieties and Configuration Spaces | |
| dc.type | text |