Subsemigroups of finite-dimensional Lie groups that aregenerated by one-parameter semigroups are the subject ofthis book. It covers basic Lie theory for such semigroupsand some closely related topics. These include orderedhomogeneous manifolds, where the order is defined by a fieldof cones, invariant cones in Lie algebras and associatedOl'shanskii semigroups. Applications to representationtheory, symplectic geometry and Hardy spaces are also given.The book is written as an efficient guide for thoseinterested in subsemigroups of Lie groups and theirapplications in various fields of mathematics...
Subsemigroups of finite-dimensional Lie groups that aregenerated by one-parameter semigroups are the subject ofthis book. It covers basic Lie theory f...