arXiv subjects

Vitalii Shpakivskyi

Publications and source records attributed to Vitalii Shpakivskyi.

20 records · Page 2Linked to original sources

arXiv2013

Real matrix representations for the complex quaternions

Starting from known results, due to Y. Tian in [Ti; 00], referring to the real matrix representations of the real quaternions, in this paper we will investigate the left and right real matrix representations for the complex quaternions and we give some examples in the special case of the complex Fibonacci quaternions.

math.RA↗

arXiv2012

Some identities in algebras obtained by the Cayley-Dickson process

In this paper we will prove that the Hall identity is true in all algebras obtained by the Cayley-Dickson process and, in some conditions, the converse is also true.

math.RA↗