Open Access
March 2006 Compactifications of the iso level sets of the Hessenberg matrices and the full Kostant-Toda lattice
Kaoru Ikeda
Proc. Japan Acad. Ser. A Math. Sci. 82(7): 93-96 (March 2006). DOI: 10.3792/pjaa.82.93

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 $G/B$.

Citation

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Kaoru Ikeda. "Compactifications of the iso level sets of the Hessenberg matrices and the full Kostant-Toda lattice." Proc. Japan Acad. Ser. A Math. Sci. 82 (7) 93 - 96, March 2006. https://doi.org/10.3792/pjaa.82.93

Information

Published: March 2006
First available in Project Euclid: 10 October 2006

zbMATH: 1130.37385
MathSciNet: MR2265606
Digital Object Identifier: 10.3792/pjaa.82.93

Subjects:
Primary: 37J35
Secondary: 53C30

Keywords: flag manifold , Full Kostant-Toda lattice , Gauss decomposition , iso level set

Rights: Copyright © 2006 The Japan Academy

Vol.82 • No. 7 • March 2006
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