Typical separating invariants
| dc.creator | Domokos, M. | |
| dc.date | 2005-11-11 | |
| dc.date.accessioned | 2026-07-07T06:51:08Z | |
| dc.date.available | 2026-07-07T06:51:08Z | |
| dc.description | It is shown that a trivial version of polarization is sufficient to produce separating systems of polynomial invariants: if two points in the direct sum of the $G$--modules $W$ and $m$ copies of $V$ can be separated by polynomial invariants, then they can be separated by invariants depending only on at most $2\dim(V)$ variables of type $V$; when $G$ is reductive, invariants depending only on at most $\dim(V)+1$ variables suffice. Similar result is valid for rational invariants. Explicit bounds on the number of type $V$ variables in a typical system of separating invariants are given for the binary polyhedral groups, and this is applied to the invariant theory of binary forms. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511300 | |
| dc.identifier | http://arxiv.org/abs/math/0511300 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104888 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 13A50; 14L24 | |
| dc.title | Typical separating invariants | |
| dc.type | text |