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Currently displaying 1 – 2 of 2

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Funzioni regolari in un'algebra e cambiamenti di base

Paolo Dentoni — 1971

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Fueter and Moisil’s definition of right regular functions in an algebra $A$ depends on the choice of a basis in $A$ . We determine here the group $G$ of linear transformations (changes of basis in $A$ ) which map the set of right regular functions into itself. $G$ is strictly related to the reducibility of $A$ as a direct sum of left ideals, and contains the subgroup $G_{0}$ of all similarity transformations with $0$ as a fixed-point. In particular, we show that $G_{0}=G$ in the case of quaternion and Clifford algebras.

Funzioni regolari nell'algebra di Cayley

Paolo Dentoni; Michele Sce — 1973

Rendiconti del Seminario Matematico della Università di Padova

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