2026-04-28T19:36:52Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/666962024-12-03T13:05:14Zcom_10324_1129com_10324_931com_10324_894col_10324_1193

Brox López, José Ramón Rizzo, Carla 2024-03-14T12:31:55Z 2024-03-14T12:31:55Z 2024 Universidad de Valladolid, Facultad de Ciencias https://uvadoc.uva.es/handle/10324/66696 We study the differential identities of the algebra Mk(F) of k x k matrices over a field F of characteristic zero when its full Lie algebra of derivations, L=Der(Mk(F)), acts on it. We determine a set of 2 generators of the ideal of differential identities of Mk(F) for k>1. Moreover, we obtain the exact values of the corresponding differential codimensions and differential cocharacters. Finally we prove that, unlike the ordinary case, the variety of differential algebras with L-action generated by Mk(F) has almost polynomial growth for all k>1. eng info:eu-repo/semantics/openAccess Matemáticas Differential identities of matrix algebras info:eu-repo/semantics/article