Quiver varieties and Weyl group actions
The cohomology of Nakajima's varieties is known to carry a natural Weyl group action. Here this fact is established using the method of intersection cohomology, in analogy with the definition of Springer's representations.
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| Format: | Article |
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Cellule MathDoc/CEDRAM
2022
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| Online Access: | https://hdl.handle.net/1721.1/140253 |
| _version_ | 1826190323613696000 |
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| author | Lusztig, George |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Lusztig, George |
| author_sort | Lusztig, George |
| collection | MIT |
| description | The cohomology of Nakajima's varieties is known to carry a natural Weyl group action. Here this fact is established using the method of intersection cohomology, in analogy with the definition of Springer's representations. |
| first_indexed | 2024-09-23T08:38:31Z |
| format | Article |
| id | mit-1721.1/140253 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T08:38:31Z |
| publishDate | 2022 |
| publisher | Cellule MathDoc/CEDRAM |
| record_format | dspace |
| spelling | mit-1721.1/1402532022-09-30T10:10:40Z Quiver varieties and Weyl group actions Lusztig, George Massachusetts Institute of Technology. Department of Mathematics The cohomology of Nakajima's varieties is known to carry a natural Weyl group action. Here this fact is established using the method of intersection cohomology, in analogy with the definition of Springer's representations. 2022-02-09T19:38:39Z 2022-02-09T19:38:39Z 2000 Article http://purl.org/eprint/type/JournalArticle 0373-0956 https://hdl.handle.net/1721.1/140253 Lusztig, George. Quiver varieties and Weyl group actions. Annals of the Fourier Institute, Volume 50 (2000) no. 2 10.5802/aif.1762 Annales de l'Institut Fourier Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Cellule MathDoc/CEDRAM Prof. Lusztig |
| spellingShingle | Lusztig, George Quiver varieties and Weyl group actions |
| title | Quiver varieties and Weyl group actions |
| title_full | Quiver varieties and Weyl group actions |
| title_fullStr | Quiver varieties and Weyl group actions |
| title_full_unstemmed | Quiver varieties and Weyl group actions |
| title_short | Quiver varieties and Weyl group actions |
| title_sort | quiver varieties and weyl group actions |
| url | https://hdl.handle.net/1721.1/140253 |
| work_keys_str_mv | AT lusztiggeorge quivervarietiesandweylgroupactions AT quivervarietiesandweylgroupactions |