Jak se studují útvary v prostoru? I. část [Book]
Jaké jest geometrické místo průseků tečen jedné kůželosečky s polarami bodů dotyčných vzhledem ke kůželosečce druhé?
Join systems and closure spaces
Jordan- and Lie geometries
In these lecture notes we report on research aiming at understanding the relation beween algebras and geometries, by focusing on the classes of Jordan algebraic and of associative structures and comparing them with Lie structures. The geometric object sought for, called a generalized projective, resp. an associative geometry, can be seen as a combination of the structure of a symmetric space, resp. of a Lie group, with the one of a projective geometry. The text is designed for readers having basic...