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| File | Description | Size | Format | |
|---|---|---|---|---|
| s00208-018-1652-5.pdf | 241.32 kB | Adobe PDF | View/Open |
| Title: | Demazure character formula for semi-infinite flag varieties |
| Authors: | Kato, Syu |
| Author's alias: | 加藤, 周 |
| Keywords: | General Mathematics |
| Issue Date: | Aug-2018 |
| Publisher: | Springer Berlin Heidelberg |
| Journal title: | Mathematische Annalen |
| Volume: | 371 |
| Issue: | 3-4 |
| Start page: | 1769 |
| End page: | 1801 |
| Abstract: | We prove that every Schubert variety of a semi-infinite flag variety is projectively normal. This gives us an interpretation of a Demazure module of a global Weyl module of a current Lie algebra as the (dual) space of global sections of a line bundle on a semi-infinite Schubert variety. Moreover, we give geometric realizations of Feigin–Makedonskyi’s generalized Weyl modules, and the t=∞ specialization of non-symmetric Macdonald polynomials. |
| Description: | Research supported in part by JSPS Grant-in-Aid for Scientific Research (B) 26287004 and Kyoto University Jung-Mung program. |
| Rights: | This is a post-peer-review, pre-copyedit version of an article published in 'Mathematische Annalen'. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00208-018-1652-5. The full-text file will be made open to the public on 09 February 2019 in accordance with publisher's 'Terms and Conditions for Self-Archiving' This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/232842 |
| DOI(Published Version): | 10.1007/s00208-018-1652-5 |
| Appears in Collections: | Journal Articles |
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