By H. Omori
This publication develops, from the point of view of summary crew idea, a normal thought of infinite-dimensional Lie teams related to the implicit functionality theorem and the Frobenius theorem. Omori treats as infinite-dimensional Lie teams all of the genuine, primitive, limitless transformation teams studied through E. Cartan. The ebook discusses numerous noncommutative algebras equivalent to Weyl algebras and algebras of quantum teams and their automorphism teams. The thought of a noncommutative manifold is defined, and the deformation quantization of yes algebras is mentioned from the perspective of Lie algebras.
This variation is a revised model of the e-book of an identical identify released in eastern in 1979.
Readership: Graduate scholars, study mathematicians, mathematical physicists and theoretical physicists drawn to international research and on manifolds.