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Translations of Mathematical Monographs
1997; 415 pp; hardcover
List Price: US$135
Member Price: US$108
Order Code: MMONO/158
This book develops, from the viewpoint of abstract group theory, a general theory of infinite-dimensional Lie groups involving the implicit function theorem and the Frobenius theorem. Omori treats as infinite-dimensional Lie groups all the real, primitive, infinite transformation groups studied by E. Cartan. The book discusses several noncommutative algebras such as Weyl algebras and algebras of quantum groups and their automorphism groups. The notion of a noncommutative manifold is described, and the deformation quantization of certain algebras is discussed from the viewpoint of Lie algebras.
This edition is a revised version of the book of the same title published in Japanese in 1979.
Graduate students, research mathematicians, mathematical physicists and theoretical physicists interested in global analysis and on manifolds.
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