The Tits--Kantor--Koecher construction for Jordan dialgebras

V. Yu. Gubarev, P. S. Kolesnikov

We study a noncommutative generalization of Jordan algebras called Jordan dialgebras. These are algebras that satisfy the identities $[x_1{x}_2]x_3=0$, $(x_1^2,x_2,x_3)=2(x_1,x_2,x…