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Gradings on associative triple systems of the second kind.

Authors :
Daza-Garcia, Alberto
Source :
Linear Algebra & its Applications. Dec2024, Vol. 703, p329-368. 40p.
Publication Year :
2024

Abstract

On this work we study associative triple systems of the second kind. We show that for simple triple systems the automorphism group scheme is isomorphic to the automorphism group scheme of the 3-graded associative algebra with involution constructed by Loos. This result will allow us to prove our main result which is a complete classification up to isomorphism of the gradings of structurable algebras. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00243795
Volume :
703
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
180423449
Full Text :
https://doi.org/10.1016/j.laa.2024.07.015