A twisted group algebra structure for an algebra obtained by the Cayley-Dickson process

Autor:	Flaut, Cristina, Boboescu, Remus
Rok vydání:	2021
Předmět:	Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	Starting from some ideas given by Bales in [Ba; 09], in this paper we present an algorithm for computing the elements of the basis in an algebra obtained by the Cayley-Dickson process. As a consequence of this result, we prove that an algebra obtained by the Cayley-Dickson process is a twisted group algebra for the group G = Zn2 ; n = 2t, t 2 N, over a field K, with charK = 0. In the last section, we give some properties and applications of the quaternion nonassociative algebras.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.12805 Zobrazit plný text záznamu View this record from Arxiv