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.

Bibliographic Details
Main Author: Kim, Dongkwan
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Netherlands 2021
Online Access:https://hdl.handle.net/1721.1/131779
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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.
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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