DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ikeda, Takeshi | ko |
dc.contributor.author | Matsumura, Tomoo | ko |
dc.date.accessioned | 2015-11-20T09:00:40Z | - |
dc.date.available | 2015-11-20T09:00:40Z | - |
dc.date.created | 2015-06-01 | - |
dc.date.created | 2015-06-01 | - |
dc.date.issued | 2015-06 | - |
dc.identifier.citation | MATHEMATISCHE ZEITSCHRIFT, v.280, no.1-2, pp.269 - 306 | - |
dc.identifier.issn | 0025-5874 | - |
dc.identifier.uri | http://hdl.handle.net/10203/200949 | - |
dc.description.abstract | We study the torus equivariant Schubert classes of the Grassmannian of non-maximal isotropic subspaces in a symplectic vector space. We prove a formula that expresses each of those classes as a sum of multi Schur-Pfaffians, whose entries are equivariantly modified special Schubert classes. Our result gives a proof to Wilson's conjectural formula, which generalizes the Giambelli formula for the ordinary cohomology proved by Buch-Kresch-Tamvakis, given in terms of Young's raising operators. Furthermore we show that the formula extends to a certain family of Schubert classes of the symplectic partial isotropic flag varieties. | - |
dc.language | English | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.subject | DOUBLE SCHUBERT POLYNOMIALS | - |
dc.subject | EQUIVARIANT COHOMOLOGY | - |
dc.subject | CLASSICAL-GROUPS | - |
dc.subject | DEGENERACY LOCI | - |
dc.subject | CALCULUS | - |
dc.title | Pfaffian sum formula for the symplectic Grassmannians | - |
dc.type | Article | - |
dc.identifier.wosid | 000354242000013 | - |
dc.identifier.scopusid | 2-s2.0-84939950935 | - |
dc.type.rims | ART | - |
dc.citation.volume | 280 | - |
dc.citation.issue | 1-2 | - |
dc.citation.beginningpage | 269 | - |
dc.citation.endingpage | 306 | - |
dc.citation.publicationname | MATHEMATISCHE ZEITSCHRIFT | - |
dc.identifier.doi | 10.1007/s00209-015-1423-x | - |
dc.contributor.nonIdAuthor | Ikeda, Takeshi | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Schubert classes | - |
dc.subject.keywordAuthor | Symplectic Grassmannians | - |
dc.subject.keywordAuthor | Torus equivariant cohomology | - |
dc.subject.keywordAuthor | Giambelli type formula | - |
dc.subject.keywordAuthor | Wilson&apos | - |
dc.subject.keywordAuthor | s conjecture | - |
dc.subject.keywordAuthor | Double Schubert polynomials | - |
dc.subject.keywordPlus | DOUBLE SCHUBERT POLYNOMIALS | - |
dc.subject.keywordPlus | EQUIVARIANT COHOMOLOGY | - |
dc.subject.keywordPlus | CLASSICAL-GROUPS | - |
dc.subject.keywordPlus | DEGENERACY LOCI | - |
dc.subject.keywordPlus | CALCULUS | - |
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