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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.

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