The Geometry of Jordan and Lie Structures

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Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings (2005, methodology): “In later chapters and in [Be00] we use also the notation l(v) := ṽ and consider l(v) as a “vector field extension of v”.”
Differential Calculus over General Base Fields and Rings (2004, background): “[8], [9]) one gets a rich family of examples of Lie structures (Lie groups and symmetric spaces) over K, and it would be very interesting to know "how big" this family is inside the Lie category.”
n-ary algebras: a review with applications (2010, unknown): “[191–193, 148]; see also [194]) and in physics, as e.”
Quasi, twisted, and all that... in Poisson geometry and Lie algebroid theory (2003, result): “(Some of the results of Bertram [9] might prove useful in the search for global objects integrating generalized Lie algebras.)”
Homogeneous para-Kähler Einstein manifolds (2009, background): “Three-graded Lie algebras are closely related to Jordan pairs and Jordan algebras (see [67]) and have various applications.”