2023/07/18 by Fernando Montaner, Montaner, Fernando, Irene Paniello +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #17B01 #17B05 #17C05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Sphingolipid Metabolism and Signaling
paper · pdf · doi:10.48550/arxiv.2307.09043
openalex publication_date 2023/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We study Jordan 3-graded Lie algebras satisfying 3-graded polynomial identities. Taking advantage of the Tits-Kantor-Koecher construction, we interpret the PI condition in terms of their associated Jordan pairs, which allows us to formulate an analogous of Posner-Rowen Theorem for strongly prime PI Jordan 3-graded Lie algebras. Arbitrary PI Jordan 3-graded Lie algebras are also described by introducing the Kostrikin radical of the Lie algebras.