Invariant functions on supermatrices
| dc.creator | Shander, Vladimir | |
| dc.date | 1998-10-17 | |
| dc.date.accessioned | 2026-07-07T05:26:31Z | |
| dc.date.available | 2026-07-07T05:26:31Z | |
| dc.description | There are two superanalogs of the general linear group: GL(m|n) and GQ(n). For any supercommutative superalgebra C let G(C) be the set of C-points of the supermanifold G. Here there are described the GQ(n; C)-invariant functions on Q(n; C) and GL(n; C)-invariant functions on the odd subspace of Mat (n|n; C), more exactly, the invariants of the action of Lie supergroups GQ(n) and GL(n|n) on the supermanifolds corresponding to Q(n; C) and the odd subspace of Mat(n|n; C). The obtained answer is interpreted in terms of GL(n; C)-invariants on Q(n; C) and GL(n|n; C)-invariants on the odd subspace of Mat (n|n; C) described functorially in (i.e., independently of) C. | |
| dc.description | 24 p., Latex | |
| dc.identifier | https://arxiv.org/abs/math/9810112 | |
| dc.identifier | http://arxiv.org/abs/math/9810112 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77577 | |
| dc.subject | Representation Theory | |
| dc.subject | Commutative Algebra | |
| dc.subject | 17A70 (Primary) 17B35, 13A50 (Secondary) | |
| dc.title | Invariant functions on supermatrices | |
| dc.type | text |