TOTAL POSITIVITY IN SPRINGER FIBRES
<jats:title>Abstract</jats:title> <jats:p>Let u be a unipotent element in the totally positive part of a complex reductive group. We consider the intersection of the Springer fibre at u with the totally positive part of the flag manifold. We show that this intersecti...
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| Format: | Article |
| Language: | English |
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Oxford University Press (OUP)
2021
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| Online Access: | https://hdl.handle.net/1721.1/136100 |
| _version_ | 1811082367744344064 |
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| author | Lusztig, G |
| author_facet | Lusztig, G |
| author_sort | Lusztig, G |
| collection | MIT |
| description | <jats:title>Abstract</jats:title>
<jats:p>Let u be a unipotent element in the totally positive part of a complex reductive group. We consider the intersection of the Springer fibre at u with the totally positive part of the flag manifold. We show that this intersection has a natural cell decomposition which is part of the cell decomposition (Rietsch) of the totally positive flag manifold.</jats:p> |
| first_indexed | 2024-09-23T12:02:01Z |
| format | Article |
| id | mit-1721.1/136100 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:02:01Z |
| publishDate | 2021 |
| publisher | Oxford University Press (OUP) |
| record_format | dspace |
| spelling | mit-1721.1/1361002021-10-28T04:07:47Z TOTAL POSITIVITY IN SPRINGER FIBRES Lusztig, G <jats:title>Abstract</jats:title> <jats:p>Let u be a unipotent element in the totally positive part of a complex reductive group. We consider the intersection of the Springer fibre at u with the totally positive part of the flag manifold. We show that this intersection has a natural cell decomposition which is part of the cell decomposition (Rietsch) of the totally positive flag manifold.</jats:p> 2021-10-27T20:30:49Z 2021-10-27T20:30:49Z 2021 2021-05-24T16:20:58Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136100 en 10.1093/QMATHJ/HAAA021 Quarterly Journal of Mathematics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Oxford University Press (OUP) arXiv |
| spellingShingle | Lusztig, G TOTAL POSITIVITY IN SPRINGER FIBRES |
| title | TOTAL POSITIVITY IN SPRINGER FIBRES |
| title_full | TOTAL POSITIVITY IN SPRINGER FIBRES |
| title_fullStr | TOTAL POSITIVITY IN SPRINGER FIBRES |
| title_full_unstemmed | TOTAL POSITIVITY IN SPRINGER FIBRES |
| title_short | TOTAL POSITIVITY IN SPRINGER FIBRES |
| title_sort | total positivity in springer fibres |
| url | https://hdl.handle.net/1721.1/136100 |
| work_keys_str_mv | AT lusztigg totalpositivityinspringerfibres |