INVESTIGADORES
CAGLIERO Leandro Roberto
artículos
Título:
On the theorem of the primitive element with applications to the representation theory of associative and Lie algebras
Autor/es:
L. CAGLIERO; F. SZCHETMAN
Revista:
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
Editorial:
CANADIAN MATHEMATICAL SOC
Referencias:
Lugar: Vancouver; Año: 2014 vol. 57 p. 735 - 748
ISSN:
0008-4395
Resumen:
We describe of all finite dimensional uniserial representations of a commutative associative (resp. abelian Lie) algebra over a perfect (resp. sufficiently large perfect) field. In the Lie case the size of the field depends on the answer to following question, considered and solved in this paper. Let $K/F$ be a finite separable field extension and let $x,yin K$. When is $F[x,y]=F[alpha x+eta y]$ for some non-zero elements $alpha,etain F$?
