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Article: Affine Bruhat order and Demazure products
| Title | Affine Bruhat order and Demazure products |
|---|---|
| Authors | |
| Issue Date | 15-Apr-2024 |
| Publisher | Cambridge University Press |
| Citation | Forum of Mathematics, Sigma, 2024, v. 12 How to Cite? |
| Abstract | We give new descriptions of the Bruhat order and Demazure products of affine Weyl groups in terms of the weight function of the quantum Bruhat graph. These results can be understood to describe certain closure relations concerning the Iwahori–Bruhat decomposition of an algebraic group. As an application towards affine Deligne–Lusztig varieties, we present a new formula for generic Newton points. |
| Persistent Identifier | http://hdl.handle.net/10722/357255 |
| ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 1.610 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Schremmer, Felix | - |
| dc.date.accessioned | 2025-06-23T08:54:22Z | - |
| dc.date.available | 2025-06-23T08:54:22Z | - |
| dc.date.issued | 2024-04-15 | - |
| dc.identifier.citation | Forum of Mathematics, Sigma, 2024, v. 12 | - |
| dc.identifier.issn | 2050-5094 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/357255 | - |
| dc.description.abstract | <div><div><p>We give new descriptions of the Bruhat order and Demazure products of affine Weyl groups in terms of the weight function of the quantum Bruhat graph. These results can be understood to describe certain closure relations concerning the Iwahori–Bruhat decomposition of an algebraic group. As an application towards affine Deligne–Lusztig varieties, we present a new formula for generic Newton points.</p></div></div> | - |
| dc.language | eng | - |
| dc.publisher | Cambridge University Press | - |
| dc.relation.ispartof | Forum of Mathematics, Sigma | - |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.title | Affine Bruhat order and Demazure products | - |
| dc.type | Article | - |
| dc.description.nature | published_or_final_version | - |
| dc.identifier.doi | 10.1017/fms.2024.33 | - |
| dc.identifier.scopus | eid_2-s2.0-85191035524 | - |
| dc.identifier.volume | 12 | - |
| dc.identifier.eissn | 2050-5094 | - |
| dc.identifier.isi | WOS:001201817500001 | - |
| dc.identifier.issnl | 2050-5094 | - |