A Survey of Total Positivity
This paper contains an exposition of the classical work of Schoenberg and Gantmacher, Krein on the theory of totally positive matrices. It also contains a generalization of this theory to the Lie theoretic context and an application to the recent results of Fock and Goncharov on Teichmüller theory.
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Nature America, Inc
2022
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| Online Access: | https://hdl.handle.net/1721.1/140228 |
| _version_ | 1811081144952684544 |
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| author | Lusztig, G |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Lusztig, G |
| author_sort | Lusztig, G |
| collection | MIT |
| description | This paper contains an exposition of the classical work of Schoenberg and Gantmacher, Krein on the theory of totally positive matrices. It also contains a generalization of this theory to the Lie theoretic context and an application to the recent results of Fock and Goncharov on Teichmüller theory. |
| first_indexed | 2024-09-23T11:42:12Z |
| format | Article |
| id | mit-1721.1/140228 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:42:12Z |
| publishDate | 2022 |
| publisher | Springer Nature America, Inc |
| record_format | dspace |
| spelling | mit-1721.1/1402282022-10-01T05:23:12Z A Survey of Total Positivity Lusztig, G Massachusetts Institute of Technology. Department of Mathematics This paper contains an exposition of the classical work of Schoenberg and Gantmacher, Krein on the theory of totally positive matrices. It also contains a generalization of this theory to the Lie theoretic context and an application to the recent results of Fock and Goncharov on Teichmüller theory. 2022-02-09T15:20:50Z 2022-02-09T15:20:50Z 2008-02-13 2022-02-09T15:16:05Z Article http://purl.org/eprint/type/JournalArticle 1424-9286 1424-9294 https://hdl.handle.net/1721.1/140228 Lusztig, G. A Survey of Total Positivity. Milan j. math. 76, 125–134 (2008) en 10.1007/s00032-008-0083-2 Milan Journal of Mathematics 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 | Lusztig, G A Survey of Total Positivity |
| title | A Survey of Total Positivity |
| title_full | A Survey of Total Positivity |
| title_fullStr | A Survey of Total Positivity |
| title_full_unstemmed | A Survey of Total Positivity |
| title_short | A Survey of Total Positivity |
| title_sort | survey of total positivity |
| url | https://hdl.handle.net/1721.1/140228 |
| work_keys_str_mv | AT lusztigg asurveyoftotalpositivity AT asurveyoftotalpositivity AT lusztigg surveyoftotalpositivity AT surveyoftotalpositivity |