Compactifications of the iso level sets of the Hessenberg matrices and the full Kostant-Toda lattice

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Abstract

We consider the problem of the compactification of the iso level sets of the Hessenberg matrices which is propounded by Ercolani et al. We determine the structure of the cohomology ring of the compact iso level set and obtain a new expression of the flag variety G/B.

Original languageEnglish
Pages (from-to)93-96
Number of pages4
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume82
Issue number7
DOIs
Publication statusPublished - 2006

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Hessenberg Matrix
Toda Lattice
Compactification
Level Set
Flag Variety
Cohomology Ring

Keywords

  • Flag manifold
  • Full Kostant-Toda lattice
  • Gauss decomposition
  • Iso level set

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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title = "Compactifications of the iso level sets of the Hessenberg matrices and the full Kostant-Toda lattice",
abstract = "We consider the problem of the compactification of the iso level sets of the Hessenberg matrices which is propounded by Ercolani et al. We determine the structure of the cohomology ring of the compact iso level set and obtain a new expression of the flag variety G/B.",
keywords = "Flag manifold, Full Kostant-Toda lattice, Gauss decomposition, Iso level set",
author = "Kaoru Ikeda",
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KW - Full Kostant-Toda lattice

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