Invariants of quivers under the action of classical groups
| dc.creator | Lopatin, A. A. | |
| dc.date | 2006-08-30 | |
| dc.date | 2007-04-17 | |
| dc.date.accessioned | 2026-07-07T13:08:33Z | |
| dc.date.available | 2026-07-07T13:08:33Z | |
| dc.description | We consider a generalization of representations of quivers that can be derived from the ordinary representations of quivers by considering a product of arbitrary classical groups instead of a product of the general linear groups and by considering the dual action of groups on "vertex" vector spaces together with the usual action. A generating system for the corresponding algebra of invariants is found. In particular, a generating system for the algebra of SO(n)-invariants of several matrices is constructed over a field of characteristic different from 2. The proof uses the reduction to semi-invariants of mixed representations of a quiver and the decomposition formula that generalizes Amitsur's formula for the determinant. | |
| dc.description | 41 pages; v2. minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0608750 | |
| dc.identifier | http://arxiv.org/abs/math/0608750 | |
| dc.identifier | J. Algebra 321 (2009), 1079-1106. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228452 | |
| dc.subject | Representation Theory | |
| dc.subject | 13A50; 14L24; 16G20 | |
| dc.title | Invariants of quivers under the action of classical groups | |
| dc.type | text |