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The Structure of Complex Lie Groups (Chapman & Hall/CRC Research Notes in Mathematics Series) epub

by Dong Hoon Lee


The Structure of Complex Lie Groups (Chapman & Hall/CRC Research Notes in Mathematics Series) epub

ISBN: 1584882611

ISBN13: 978-1584882619

Author: Dong Hoon Lee

Category: Science

Subcategory: Mathematics

Language: English

Publisher: Chapman and Hall/CRC; 1 edition (September 2, 2001)

Pages: 232 pages

ePUB book: 1191 kb

FB2 book: 1589 kb

Rating: 4.5

Votes: 459

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Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential . This is followed by a discourse on complex analytic groups that carry the structure of affine algebraic groups compatible with their analytic group structure.

Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects. The Structure of Complex Lie Groups addresses this need. Self-contained, it begins with general concepts introduced via an almost complex structure on a real Lie group.

Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential . Integral Theorems for Functions and Differential Forms in C(m).

Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as. . The description of the structure of group C -algebras is a difficult problem, but relevant to important new developments in mathematics, such as non-commutative geometry and quantum groups. Although a significant number of new methods and results have been obtained, until now they have not been.

ISBN 13: 9781584882619.

Hardcover: 359 pages. There's a problem loading this menu right now.

By: Dong Hoon Lee. Publisher: Chapman and Hall/CRC. Print ISBN: 9781584882619, 1584882611. eText ISBN: 9781420035452, 1420035452. digital pages viewed over the past 12 months. institutions using Bookshelf across 241 countries. Self-contained, it begins with general concepts. Representative Functions of Lie Groups.

Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field.

Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients. Download from free file storage.

Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects.The Structure of Complex Lie Groups addresses this need. Self-contained, it begins with general concepts introduced via an almost complex structure on a real Lie group. It then moves to the theory of representative functions of Lie groups- used as a primary tool in subsequent chapters-and discusses the extension problem of representations that is essential for studying the structure of complex Lie groups. This is followed by a discourse on complex analytic groups that carry the structure of affine algebraic groups compatible with their analytic group structure. The author then uses the results of his earlier discussions to determine the observability of subgroups of complex Lie groups.The differences between complex algebraic groups and complex Lie groups are sometimes subtle and it can be difficult to know which aspects of algebraic group theory apply and which must be modified. The Structure of Complex Lie Groups helps clarify those distinctions. Clearly written and well organized, this unique work presents material not found in other books on Lie groups and serves as an outstanding complement to them.