Mirkovic-Vilonen cycles and polytopes
| dc.creator | Kamnitzer, Joel | |
| dc.date | 2005-01-22 | |
| dc.date | 2005-05-18 | |
| dc.date.accessioned | 2026-07-07T05:16:16Z | |
| dc.date.available | 2026-07-07T05:16:16Z | |
| dc.description | We give an explicit description of the Mirkovic-Vilonen cycles on the affine Grassmannian for arbitrary complex reductive groups. We also give a combinatorial characterization of the MV polytopes. We prove that a polytope is an MV polytope if and only if it a lattice polytope whose defining hyperplanes are parallel to those of the Weyl polytopes and whose 2-faces are rank 2 MV polytopes. As an application, we give a bijection between Lusztig's canonical basis and the set of MV polytopes. | |
| dc.description | 42 pages, v2: new sections added, references improved, mistakes corrected, exposition improved | |
| dc.identifier | https://arxiv.org/abs/math/0501365 | |
| dc.identifier | http://arxiv.org/abs/math/0501365 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73923 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Mirkovic-Vilonen cycles and polytopes | |
| dc.type | text |