| Texto completo | |
| Autor(es): |
Lopatin, Artem
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. N/A, p. 20-pg., 2024-11-20. |
| Resumo | |
The algebra of GL(n)-invariants of m-tuples of n x n matrices with respect to the action by simultaneous conjugation is a classical topic in case of infinite base field. On the other hand, in case of a finite field generators of polynomial invariants are not known even for a pair of 2 x 2 matrices. Working over an arbitrary field we classified all GL(2)-orbits on m-tuples of 2 x 2 nilpotent matrices for all m > 0. As a consequence, we obtained a minimal separating set for the algebra of GL(2)-invariant polynomial functions of m-tuples of 2 x 2 nilpotent matrices. We also described the least possible number of elements of a separating set for an algebra of invariant polynomial functions over a finite field. (AU) | |
| Processo FAPESP: | 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos |
| Beneficiário: | Ivan Chestakov |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |