A note on Hessenberg varieties
Kari Vilonen, Ting Xue
TL;DR
This paper provides a concise proof of certain results related to Hessenberg varieties using Lusztig's generalized Springer correspondence, simplifying previous proofs and offering new insights.
Contribution
It introduces a streamlined proof technique for Hessenberg varieties leveraging Lusztig's Springer correspondence, enhancing understanding of their structure.
Findings
Simplified proof of Hessenberg varieties results
Application of Lusztig's Springer correspondence
Deeper insight into Hessenberg varieties structure
Abstract
We give a short proof based on Lusztig's generalized Springer correspondence of some results of [BrCh,BaCr,P].
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Combinatorial Mathematics · Advanced Topics in Algebra