Semisimplifying Frank Lie algebras
Year: 2026
Type: article
Abstract: The Frank Lie algebras are simple Lie algebras that only occur over fields of characteristic 3. These come equipped with distinguished inner derivations that make them algebras in the category Rep ( α 3 ) . We apply the semisimplification functor to these Frank Lie algebras and obtain modular contact Lie superalgebras. We also obtain a class of simple J -ternary algebras whose associated Jordan algebras are not simple.
Source: Expositiones Mathematicae
Author: Michiel Smet
Institution: Ghent University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,500
OpenAlex ID: W7130366163