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 Nov 8

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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