On the equivariant reduction of structure group of a principal bundle to a Levi subgroup
| dc.creator | Parameswaran, Indranil Biswas an A. J. | |
| dc.date | 2003-10-03 | |
| dc.date.accessioned | 2026-07-07T05:01:35Z | |
| dc.date.available | 2026-07-07T05:01:35Z | |
| dc.description | Let $M$ be an irreducible projective variety over an algebraically closed field $k$ of characteristic zero equipped with an action of a group $Γ$. Let $E_G$ be a principal $G$--bundle over $M$, where $G$ is a connected reductive algebraic group over $k$, equipped with a lift of the action of $Γ$ on $M$. We give conditions for $E_G$ to admit a $Γ$--equivariant reduction of structure group to $H$, where $H \subset G$ is a Levi subgroup. We show that for $E_G$, there is a naturally associated conjugacy class of Levi subgroups of $G$. Given a Levi subgroup $H$ in this conjugacy class, $E_G$ admits a $Γ$--equivariant reduction of structure group to $H$, and furthermore, such a reduction is unique up to an automorphism of $E_G$ that commutes with the action of $Γ$. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310035 | |
| dc.identifier | http://arxiv.org/abs/math/0310035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68730 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 14L40; 14L30 | |
| dc.title | On the equivariant reduction of structure group of a principal bundle to a Levi subgroup | |
| dc.type | text |