Generators of Invariants of Two $4 \times 4$ Matrices
| dc.creator | Drensky, Vesselin | |
| dc.creator | Sadikova, Liliya | |
| dc.date | 2005-03-08 | |
| dc.date | 2006-03-23 | |
| dc.date.accessioned | 2026-07-07T06:39:32Z | |
| dc.date.available | 2026-07-07T06:39:32Z | |
| dc.description | Over a field of characteristic 0, the algebra of invariants of several $n\times n$ matrices under simultaneous conjugation by $GL_n$ is generated by traces of products of generic matrices. In this paper we have found, in terms of representation theory of $GL_2$, a minimal set of generators of the algebra of invariants of two $4\times 4$ matrices. The proof is purely combinatorial and involves computer calculations with standard functions of Maple. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503146 | |
| dc.identifier | http://arxiv.org/abs/math/0503146 | |
| dc.identifier | C. R. Acad. Bulg. Sci. 59 (2006), No. 5, 477-484 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101111 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Commutative Algebra | |
| dc.subject | 16R30 | |
| dc.title | Generators of Invariants of Two $4 \times 4$ Matrices | |
| dc.type | text |