ENGLISH

Infinite-Dimensional Lie Groups

By Hideki Omori

Book information

Publisher
American Mathematical Society
Year
1996
ISBN
0821845756, 9780821845752
Language
english
Format
PDF
Filesize
6 MB (6211835 bytes)
Series
Translations of Mathematical Monographs, Vol. 158
Edition
Revised
Pages
C, xii+415, B\430
Topic
Mathematics Algebra
DPI
600
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2014-03-25 10:54:29

Description

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. Readership: Graduate students, research mathematicians, mathematical physicists and theoretical physicists interested in global analysis and on manifolds.

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