Work

On Kac’s Jordan superalgebra

Year: 2018

Type: article

Abstract: The group-scheme of automorphisms of the 10-dimensional exceptional Kac’s Jordan superalgebra is shown to be isomorphic to the semi-direct product of the direct product of two copies of SL2 by the constant group-scheme C2. This is used to revisit, extend and simplify, known results on the classification of the twisted forms of this superalgebra and of its gradings.

Source: Linear and Multilinear Algebra

DOI: 10.1080/03081087.2017.1422689

Authors: Alejandra S. Córdova-Martínez, Abbas Darehgazani, Alberto Elduque

Institutions: Universidad de Zaragoza, Instituto Universitario de Matemáticas y Aplicaciones, University of Isfahan

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Economía y Competitividad, Consejo Nacional de Ciencia y Tecnología, Guatemala

Awards: G2543258469, G3546542541