Equivariant vector bundles on group completions
| dc.creator | Kato, Syu | |
| dc.date | 2002-02-04 | |
| dc.date | 2004-03-31 | |
| dc.date.accessioned | 2026-07-07T04:46:17Z | |
| dc.date.available | 2026-07-07T04:46:17Z | |
| dc.description | In this paper, we describe the category of bi-equivariant vector bundles on a bi-equivariant smooth (partial) compactification of a reductive algebraic group with normal crossing boundary divisors. Our result is a generalization of the description of the category of equivariant vector bundles on toric varieties established by A.A. Klyachko [Math. USSR. Izvestiya, {\bf 35}, No.2 (1990)]. As an application, we prove splitting of equivariant vector bundles of low rank on the wonderful compactification of an adjoint semisimple group in the sense of C. De Concini and C. Procesi [Lecture Note in Math. {\bf 996} (1983)]. Moreover, we present an answer to a problem raised by B. Kostant in the case of complex groups. | |
| dc.description | Final version. Improved Exposition. to appear in Crelle's J. 43pages | |
| dc.identifier | https://arxiv.org/abs/math/0202028 | |
| dc.identifier | http://arxiv.org/abs/math/0202028 | |
| dc.identifier | J. reine angew. Math. 581 (2005) 71-116 | |
| dc.identifier | doi:10.1515/crll.2005.2005.581.71 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63270 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14J60; 14M17; 14F05; 18F99 | |
| dc.title | Equivariant vector bundles on group completions | |
| dc.type | text |