Toda lattice and toric varieties for real split semisimple Lie algebras
| dc.creator | Casian, L. | |
| dc.creator | Kodama, Y. | |
| dc.date | 1999-12-02 | |
| dc.date | 2001-04-06 | |
| dc.date.accessioned | 2026-07-07T05:32:06Z | |
| dc.date.available | 2026-07-07T05:32:06Z | |
| dc.description | The paper concerns the topology of an isospectral real smooth manifold for certain Jacobi element associated with real split semisimple Lie algebra. The manifold is identified as a compact, connected completion of the disconnected Cartan subgroup of the corresponding Lie group $\tilde G$ which is a disjoint union of the split Cartan subgroups associated to semisimple portions of Levi factors of all standard parabolic subgroups of $\tilde G$. The manifold is also related to the compactified level sets of a generalized Toda lattice equation defined on the semisimple Lie algebra, which is diffeomorphic to a toric variety in the flag manifold ${\tilde G}/B$ with Borel subgroup $B$ of $\tilde G$. We then give a cellular decomposition and the associated chain complex of the manifold by introducing colored-signed Dynkin diagrams which parametrize the cells in the decomposition. | |
| dc.description | 49 pages, AMSTeX, Rport no: OSU MRI-99-17, corrected some typos, added some references and two figures, sbmitted to PMJ (pmj.cls is used) | |
| dc.identifier | https://arxiv.org/abs/math/9912021 | |
| dc.identifier | http://arxiv.org/abs/math/9912021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79537 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Toda lattice and toric varieties for real split semisimple Lie algebras | |
| dc.type | text |