On principal fibrations associated with one algebra

TL;DR

This paper explores principal fibrations linked to a specific 3D algebra, analyzing their properties and models, including semi-Euclidean spheres and Norden normalization techniques.

Contribution

It introduces new models and methods for studying fibrations associated with a 3D associative algebra, including semi-conformal and projective models.

Findings

Characterization of trivial principal fibrations

Construction of semi-Euclidean sphere models

Application of Norden normalization method

Abstract

In this paper we study two types of fibrations associated with a 3-dimensional unital associative irreducible algebra and their basic properties. We investigate trivial principal fibrations of degenerate semi-Euclidean sphere and their semi-conformal and projective models. We use Norden normalization method for constructing second model.