Abstract
In this paper we study the resolution of the singular loci of the generalized Toda lattice on the flag manifold by using blow-up. We define the gauge symmetry of the Weyl group on the fiber of this blow-up. This gauge transformation transforms the singular locus of the Toda lattice on the flag manifold into the face of Weyl chamber. Thus we show that if the orbit of the Toda lattice crosses the singular locus on the flag manifold, then the leap over the face of the Weyl chamber occurs on the fiber.
Original language | English |
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Article number | 103558 |
Journal | Journal of Geometry and Physics |
Volume | 148 |
DOIs | |
Publication status | Published - 2020 Feb |
Keywords
- Bruhat decomposition
- Painlevé property
- Singular divisor
- Split and reductive Lie groups
- Toda lattice
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology