2020/10/29 by Hamid Abchir, Abchir, Hamid, Ilham Ait Brik +3
Biochemistry, Genetics and Molecular Biology · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Biological Activity of Diterpenoids and Biflavonoids #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Sphingolipid Metabolism and Signaling #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2010.15815
openalex publication_date 2020/10/29 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
k-Para-K "ahler Lie algebras are a generalization of para-K "ahler Lie\nalgebras (k=1) and constitute a subclass of k-symplectic Lie algebras. In\nthis paper, we show that the characterization of para-K "ahler Lie algebras as\nleft symmetric bialgebras can be generalized to k-para-K "ahler Lie algebras\nleading to the introduction of two new structures which are different but both\ngeneralize the notion of left symmetric algebra. This permits also the\nintroduction of generalized S-matrices.\n We determine then all the k-symplectic Lie algebras of dimension (k+1)\nand all the six dimensional 2-para-K "ahler Lie algebras.\n