Published by American Mathematical Society, 1996

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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

Title: **Infinite-Dimensional Lie Groups (...**

Publisher: **American Mathematical Society**

Publication Date: **1996**

Book Condition: **Good**

Edition: **Revised.**

Published by
Amer Mathematical Society, Providence, Rhode Island, U.S.A.
(1997)

ISBN 10: 0821845756
ISBN 13: 9780821845752

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**Book Description **Amer Mathematical Society, Providence, Rhode Island, U.S.A., 1997. Hardcover. Condition: Very Good. light wear. Seller Inventory # 026840

Published by
American Mathematical Society, United States
(1997)

ISBN 10: 0821845756
ISBN 13: 9780821845752

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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

Published by
American Mathematical Society

ISBN 10: 0821845756
ISBN 13: 9780821845752

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**Book Description **American Mathematical Society. Hardback. Condition: New. New copy - Usually dispatched within 2 working days. Seller Inventory # B9780821845752

Published by
American Mathematical Society, United States
(1997)

ISBN 10: 0821845756
ISBN 13: 9780821845752

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Hardcover
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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

Published by
American Mathematical Society
(1996)

ISBN 10: 0821845756
ISBN 13: 9780821845752

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Quantity Available: 1

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**Book Description **American Mathematical Society, 1996. HRD. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # CE-9780821845752

Published by
American Mathematical Society
(1996)

ISBN 10: 0821845756
ISBN 13: 9780821845752

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**Book Description **American Mathematical Society, 1996. Hardcover. Condition: New. Revised. Seller Inventory # DADAX0821845756

Published by
American Mathematical Society
(1996)

ISBN 10: 0821845756
ISBN 13: 9780821845752

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**Book Description **American Mathematical Society, 1996. Hardcover. Condition: Used: Good. Seller Inventory # SONG0821845756

Published by
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(1996)

ISBN 10: 0821845756
ISBN 13: 9780821845752

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**Book Description **Amer Mathematical Society, 1996. Hardcover. Condition: Brand New. revised edition. 415 pages. 10.00x7.25x1.00 inches. In Stock. Seller Inventory # __0821845756

Published by
American Mathematical Society
(1996)

ISBN 10: 0821845756
ISBN 13: 9780821845752

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**Book Description **American Mathematical Society, 1996. Hardback. Condition: NEW. 9780821845752 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Seller Inventory # HTANDREE01498206

Published by
American Mathematical Society
(1996)

ISBN 10: 0821845756
ISBN 13: 9780821845752

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**Book Description **American Mathematical Society, 1996. Hardcover. Condition: New. Never used!. Seller Inventory # P110821845756