SOME CHARECTERIZATIONS OF AUTOMORPHISMS OF THEREE-DIMENSIONAL SPIN FACTOR

In the present paper, we investigate 2-local linear operators on vector spaces. Su_cient conditions are obtained for the linearity of a 2-local linear operator on a _nite-dimensional vector space. Based on these results we describe 2-local derivations and automorphisms on low-dimension Jordan algebras. Also, we develop methods of construction of 2-local linear opera-tors which are not linear operators. Applying these methods we investigate low- dimension automorphism of theree dimensional spin factor.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-10-07
DOI
https://doi.org/10.5281/zenodo.13898035
Primary Topic
Advanced Topics in Algebra
Type
article
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article

SOME CHARECTERIZATIONS OF AUTOMORPHISMS OF THEREE-DIMENSIONAL SPIN FACTOR

Zenodo (CERN European Organization for Nuclear Research)
Advanced Topics in Algebra
article

SOME CHARECTERIZATIONS OF AUTOMORPHISMS OF THEREE-DIMENSIONAL SPIN FACTOR

article en

Abstract

In the present paper, we investigate 2-local linear operators on vector spaces. Su_cient conditions are obtained for the linearity of a 2-local linear operator on a _nite-dimensional vector space. Based on these results we describe 2-local derivations and automorphisms on low-dimension Jordan algebras. Also, we develop methods of construction of 2-local linear opera-tors which are not linear operators. Applying these methods we investigate low- dimension automorphism of theree dimensional spin factor.

Zenodo (CERN European Organization for Nuclear Research)
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Advanced Topics in Algebra
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SOME CHARECTERIZATIONS OF AUTOMORPHISMS OF THEREE-DIMENSIONAL SPIN FACTOR · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS