Group Theoretical Methods in Physics pp 52-56 | Cite as
Invariantly ordered spectral lie algebras as abstract dynamical systems
I. Representation Thery of Finite and Infinite Dimentional Groups
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Abstract
A combination of the geometric spectral theory (based on a pair of an order-unit space and a base-norm space) with the theory of invariant cones in Lie algebras gives a unified language for a complete description of both quantum and classical dynamical systems. Reversing the relation between the automorphism groups of the two relevant structures (order and Lie product) we possibly get a large class of new (quantum) systems.
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