File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.5802/aif.2990
- Scopus: eid_2-s2.0-84958746219
- Find via
Supplementary
-
Citations:
- Scopus: 0
- Appears in Collections:
Article: Projected richardson varieties and affine Schubert varieties
Title | Projected richardson varieties and affine Schubert varieties |
---|---|
Authors | |
Keywords | Affine Schubert variety Flag variety Projected Richardson variety Schubert calculus |
Issue Date | 2015 |
Citation | Annales de l'Institut Fourier, 2015, v. 65, n. 6, p. 2385-2412 How to Cite? |
Abstract | Let G be a complex quasi-simple algebraic group and G/P be a partial flag variety. The projections of Richardson varieties from the full flag variety form a stratification of G/P. We show that the closure partial order of projected Richardson varieties agrees with that of a subset of Schubert varieties in the affine flag variety of G. Furthermore, we compare the torus-equivariant cohomology and K-theory classes of these two stratifications by pushing or pulling these classes to the affine Grassmannian. Our work generalizes results of Knutson, Lam, and Speyer for the Grassmannian of type A. |
Persistent Identifier | http://hdl.handle.net/10722/329391 |
ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 1.261 |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | He, Xuhua | - |
dc.contributor.author | Lam, Thomas | - |
dc.date.accessioned | 2023-08-09T03:32:27Z | - |
dc.date.available | 2023-08-09T03:32:27Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Annales de l'Institut Fourier, 2015, v. 65, n. 6, p. 2385-2412 | - |
dc.identifier.issn | 0373-0956 | - |
dc.identifier.uri | http://hdl.handle.net/10722/329391 | - |
dc.description.abstract | Let G be a complex quasi-simple algebraic group and G/P be a partial flag variety. The projections of Richardson varieties from the full flag variety form a stratification of G/P. We show that the closure partial order of projected Richardson varieties agrees with that of a subset of Schubert varieties in the affine flag variety of G. Furthermore, we compare the torus-equivariant cohomology and K-theory classes of these two stratifications by pushing or pulling these classes to the affine Grassmannian. Our work generalizes results of Knutson, Lam, and Speyer for the Grassmannian of type A. | - |
dc.language | eng | - |
dc.relation.ispartof | Annales de l'Institut Fourier | - |
dc.subject | Affine Schubert variety | - |
dc.subject | Flag variety | - |
dc.subject | Projected Richardson variety | - |
dc.subject | Schubert calculus | - |
dc.title | Projected richardson varieties and affine Schubert varieties | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.5802/aif.2990 | - |
dc.identifier.scopus | eid_2-s2.0-84958746219 | - |
dc.identifier.volume | 65 | - |
dc.identifier.issue | 6 | - |
dc.identifier.spage | 2385 | - |
dc.identifier.epage | 2412 | - |