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Item Details
| Title:
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INFINITE-DIMENSIONAL LIE GROUPS
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| By: |
Hideki Omori |
| Format: |
Hardback |
| List price:
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£137.00 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
0821845756 |
| ISBN 13: |
9780821845752 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 November, 1996 |
| Edition: |
Revised edition |
| Series: |
Translations of Mathematical Monographs Reprint No. 158 |
| Pages: |
415 |
| Translated from: |
Japanese |
| Description: |
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. This book discusses several noncommutative algebras such as Weyl algebras and algebras of quantum groups and their automorphism groups. |
| 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. |
| Illustrations: |
Illustrations |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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