Infinite-Dimensional Lie Groups (Translations of Mathematical Monographs)

Hideki Omori

Published by American Mathematical Society, 1996
ISBN 10: 0821845756 / ISBN 13: 9780821845752
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Synopsis: 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.

About the Author: Hideki Omori: Science University of Tokyo

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Title: Infinite-Dimensional Lie Groups (...
Publisher: American Mathematical Society
Publication Date: 1996
Book Condition: Good
Edition: Revised.

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Book Description American Mathematical Society, United States, 1997. Hardback. Condition: New. Revised. Language: English . Brand New Book. 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. Seller Inventory # AAN9780821845752

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Book Description American Mathematical Society, United States, 1997. Hardback. Condition: New. Revised. Language: English . Brand New Book. 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. Seller Inventory # AAN9780821845752

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