First Fundamental Theorem of Invariant Theory for covariants of classical groups
| dc.creator | Shmel'kin, D. A. | |
| dc.date | 2000-06-15 | |
| dc.date.accessioned | 2026-07-07T04:35:54Z | |
| dc.date.available | 2026-07-07T04:35:54Z | |
| dc.description | Let $U(G)$ be a maximal unipotent subgroup of one of classical groups $G=GL(V),O(V),Sp(V)$. Let $W$ be a direct sum of copies of $V$ and its dual $V*$. For the natural action $U(G):W$, we describe a minimal system of homogeneous generators for the algebra of $U(G)$-invariant regular functions on $W$. For $G=GL(V)$, we also describe the syzygies among these generators in some particular cases. | |
| dc.description | 13 pages, LaTeX 2.09 | |
| dc.identifier | https://arxiv.org/abs/math/0006110 | |
| dc.identifier | http://arxiv.org/abs/math/0006110 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59413 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.title | First Fundamental Theorem of Invariant Theory for covariants of classical groups | |
| dc.type | text |