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

Kaoru Ikeda

doi:10.3792/pjaa.82.93

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

Kaoru Ikeda

Faculty of Economics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	93-96
Number of pages	4
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	82
Issue number	7
DOIs	https://doi.org/10.3792/pjaa.82.93
Publication status	Published - 2006

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

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10.3792/pjaa.82.93

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",

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KW - Full Kostant-Toda lattice

KW - Gauss decomposition

KW - Iso level set

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

Abstract

Keywords

ASJC Scopus subject areas

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