Compactifications of the iso level sets of the Hessenberg matrices and the full Kostant-Toda lattice. (English) Zbl 1130.37385

Summary: We consider the problem of the compactification of the iso level sets of the Hessenberg matrices which is propounded by N. M. Ercolani, H. Flaschka and S. Singer [in: Integrable systems: the Verdier memorial conference, France, July 1–5, 1991, Boston, MA, Birkhäuser, Prog. Math. 115, 181–225 (1993; Zbl 0819.58014)]. We determine the structure of the cohomology ring of the compact iso level set and obtain a new expression of the flag variety \(G/B\).


37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests


Zbl 0819.58014
Full Text: DOI Euclid


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