Singular Supports for Character Sheaves on a Group Compactification
Let G be a semisimple adjoint group over C and Ḡ be the De Concini–Procesi completion of G. In this paper, we define a Lagrangian subvariety Λ of the cotangent bundle of Ḡ such that the singular support of any character sheaf on Ḡ is contained in Λ.
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Nature America, Inc
2022
|
| Online Access: | https://hdl.handle.net/1721.1/140248 |
| _version_ | 1826215463800012800 |
|---|---|
| author | He, Xuhua Lusztig, George |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics He, Xuhua Lusztig, George |
| author_sort | He, Xuhua |
| collection | MIT |
| description | Let G be a semisimple adjoint group over C and Ḡ be the De Concini–Procesi completion of G. In this paper, we define a Lagrangian subvariety Λ of the cotangent bundle of Ḡ such that the singular support of any character sheaf on Ḡ is contained in Λ. |
| first_indexed | 2024-09-23T16:31:19Z |
| format | Article |
| id | mit-1721.1/140248 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:31:19Z |
| publishDate | 2022 |
| publisher | Springer Nature America, Inc |
| record_format | dspace |
| spelling | mit-1721.1/1402482022-09-29T20:01:59Z Singular Supports for Character Sheaves on a Group Compactification He, Xuhua Lusztig, George Massachusetts Institute of Technology. Department of Mathematics Let G be a semisimple adjoint group over C and Ḡ be the De Concini–Procesi completion of G. In this paper, we define a Lagrangian subvariety Λ of the cotangent bundle of Ḡ such that the singular support of any character sheaf on Ḡ is contained in Λ. 2022-02-09T19:02:34Z 2022-02-09T19:02:34Z 2008-01-30 2022-02-09T18:57:08Z Article http://purl.org/eprint/type/JournalArticle 1016-443X 1420-8970 https://hdl.handle.net/1721.1/140248 He, X., Lusztig, G. Singular Supports for Character Sheaves on a Group Compactification. GAFA Geom. funct. anal. 17, 1915–1923 (2008) en 10.1007/s00039-007-0641-8 Geometric and Functional Analysis Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Springer Nature America, Inc arXiv |
| spellingShingle | He, Xuhua Lusztig, George Singular Supports for Character Sheaves on a Group Compactification |
| title | Singular Supports for Character Sheaves on a Group Compactification |
| title_full | Singular Supports for Character Sheaves on a Group Compactification |
| title_fullStr | Singular Supports for Character Sheaves on a Group Compactification |
| title_full_unstemmed | Singular Supports for Character Sheaves on a Group Compactification |
| title_short | Singular Supports for Character Sheaves on a Group Compactification |
| title_sort | singular supports for character sheaves on a group compactification |
| url | https://hdl.handle.net/1721.1/140248 |
| work_keys_str_mv | AT hexuhua singularsupportsforcharactersheavesonagroupcompactification AT lusztiggeorge singularsupportsforcharactersheavesonagroupcompactification AT singularsupportsforcharactersheavesonagroupcompactification |