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Pieri rule for the affine flag variety
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Lee, Seung Jin | - |
| dc.date.accessioned | 2023-12-11T06:31:33Z | - |
| dc.date.available | 2023-12-11T06:31:33Z | - |
| dc.date.created | 2018-11-08 | - |
| dc.date.issued | 2017-01 | - |
| dc.identifier.citation | Advances in Mathematics, Vol.304, pp.266-284 | - |
| dc.identifier.issn | 0001-8708 | - |
| dc.identifier.uri | https://hdl.handle.net/10371/198365 | - |
| dc.description.abstract | We prove the affine Pieri rule for the cohomology of the affine flag variety conjectured by Lam, Lapointe, Morse and Shimozono. We study the cap operator on the affine nilHecke ring that is motivated by Kostant and Kumar's work on the equivariant cohomology of the affine flag variety. We show that the cap operators for Pieri elements are the same as Pieri operators defined by Berg, Saliola and Serrano. This establishes the affine Pieri rule. We also discuss properties of cap operators which are not necessarily affine A type. © 2016 Elsevier Inc. | - |
| dc.language | 영어 | - |
| dc.publisher | Academic Press | - |
| dc.title | Pieri rule for the affine flag variety | - |
| dc.type | Article | - |
| dc.citation.journaltitle | Advances in Mathematics | - |
| dc.identifier.wosid | 000398757500007 | - |
| dc.identifier.scopusid | 2-s2.0-84986905121 | - |
| dc.citation.endpage | 284 | - |
| dc.citation.startpage | 266 | - |
| dc.citation.volume | 304 | - |
| dc.description.isOpenAccess | N | - |
| dc.contributor.affiliatedAuthor | Lee, Seung Jin | - |
| dc.type.docType | Article | - |
| dc.description.journalClass | 1 | - |
| dc.subject.keywordPlus | POSITIVITY | - |
| dc.subject.keywordAuthor | Affine flag variety | - |
| dc.subject.keywordAuthor | k-Schur function | - |
| dc.subject.keywordAuthor | NilCoxetor algebra | - |
| dc.subject.keywordAuthor | Teri rule | - |
| dc.subject.keywordAuthor | Strong Schur function | - |
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