Springer Fibers for the Minimal and the Minimal Special Nilpotent Orbits
Abstract We describe Springer fibers corresponding to the minimal and minimal special nilpotent orbits of simple Lie algebras. As a result, we give an answer to the conjecture of Humphreys regarding some graphs attached to Springer fibers.
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Format: | Article |
Language: | English |
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Springer Netherlands
2021
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Online Access: | https://hdl.handle.net/1721.1/131779 |
_version_ | 1826190485722497024 |
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author | Kim, Dongkwan |
author2 | Massachusetts Institute of Technology. Department of Mathematics |
author_facet | Massachusetts Institute of Technology. Department of Mathematics Kim, Dongkwan |
author_sort | Kim, Dongkwan |
collection | MIT |
description | Abstract
We describe Springer fibers corresponding to the minimal and minimal special nilpotent orbits of simple Lie algebras. As a result, we give an answer to the conjecture of Humphreys regarding some graphs attached to Springer fibers. |
first_indexed | 2024-09-23T08:40:58Z |
format | Article |
id | mit-1721.1/131779 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T08:40:58Z |
publishDate | 2021 |
publisher | Springer Netherlands |
record_format | dspace |
spelling | mit-1721.1/1317792023-09-01T19:56:47Z Springer Fibers for the Minimal and the Minimal Special Nilpotent Orbits Kim, Dongkwan Massachusetts Institute of Technology. Department of Mathematics Abstract We describe Springer fibers corresponding to the minimal and minimal special nilpotent orbits of simple Lie algebras. As a result, we give an answer to the conjecture of Humphreys regarding some graphs attached to Springer fibers. 2021-09-20T17:30:14Z 2021-09-20T17:30:14Z 2018-04-30 2020-09-24T20:37:45Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131779 en https://doi.org/10.1007/s10468-018-9786-4 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. Springer Science+Business Media B.V., part of Springer Nature application/pdf Springer Netherlands Springer Netherlands |
spellingShingle | Kim, Dongkwan Springer Fibers for the Minimal and the Minimal Special Nilpotent Orbits |
title | Springer Fibers for the Minimal and the Minimal Special Nilpotent Orbits |
title_full | Springer Fibers for the Minimal and the Minimal Special Nilpotent Orbits |
title_fullStr | Springer Fibers for the Minimal and the Minimal Special Nilpotent Orbits |
title_full_unstemmed | Springer Fibers for the Minimal and the Minimal Special Nilpotent Orbits |
title_short | Springer Fibers for the Minimal and the Minimal Special Nilpotent Orbits |
title_sort | springer fibers for the minimal and the minimal special nilpotent orbits |
url | https://hdl.handle.net/1721.1/131779 |
work_keys_str_mv | AT kimdongkwan springerfibersfortheminimalandtheminimalspecialnilpotentorbits |