Infinite-Dimensional Lie Groups
Nov 2017 · Translations of Mathematical Monographs Book 158 · American Mathematical Soc.
Ebook
415
Pages
About this ebook
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.
This edition is a revised version of the book of the same title published in Japanese in 1979.
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 b...
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About the author
Hideki Omori: Science University of Tokyo
Hideki Omori: Science University of Tokyo
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