Connected components of real double Bruhat cells
| dc.creator | Zelevinsky, Andrei | |
| dc.date | 2000-03-31 | |
| dc.date | 2000-04-25 | |
| dc.date.accessioned | 2026-07-07T04:34:34Z | |
| dc.date.available | 2026-07-07T04:34:34Z | |
| dc.description | Double Bruhat cells in a semisimple group are intersections of cells in two Bruhat decompositions corresponding to two opposite Borel subgroups. They form a geometric framework for the study of total positivity in semisimple groups; they are also closely related to symplectic leaves in the corresponding Poisson-Lie groups. The term "cells" might be misleading because their topology can be quite non-trivial. As a first step towards understanding this topology, we enumerate the connected components of real double Bruhat cells. This result extends (from the simply-laced case to the general one) and proves the conjecture made in a joint work with B.Shapiro-M.Shapiro-A.Vainshtein; it also extends earlier work by B.Shapiro-M.Shapiro-A.Vainshtein and K.Rietsch. | |
| dc.description | 18 pages, 4 figures; the title corrected, the abstract slightly modified, one reference added, the proof of Lemma 4.4 simplified | |
| dc.identifier | https://arxiv.org/abs/math/0003231 | |
| dc.identifier | http://arxiv.org/abs/math/0003231 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58953 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Connected components of real double Bruhat cells | |
| dc.type | text |