4 papers
On the free Lie-Yamaguti algebra
Jonatan Stava
Lie Yamaguti algebras appear naturally on the smooth sections of the tangent bundle of a reductive homogeneous space when we interpret the torsion and curvature as algebraic operat…
The Connection Algebra of Reductive Homogeneous Spaces
Jonatan Stava
Consider the smooth sections of the tangent bundle of a reductive homogeneous space. This is a vector space over the field of real numbers. The canonical connection acts as a linea…
Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces
Hans Munthe-Kaas, Jonatan Stava
Associated to a symmetric space there is a canonical connection with zero torsion and parallel curvature. This connection acts as a binary operator on the vector space of smooth se…
Post-Lie Algebra Structure of Manifolds with Constant Curvature and Torsion
Erlend Grong, Hans Z. Munthe-Kaas, Jonatan Stava
For a general affine connection with parallel torsion and curvature, we show that a post-Lie algebra structure exists on its space of vector fields, generalizing previous results f…