Lie Group Actions In Complex Analysis PDF Download
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Author | : Dimitrij Akhiezer |
Publisher | : Springer Science & Business Media |
Total Pages | : 212 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3322802671 |
Download Lie Group Actions in Complex Analysis Book in PDF, ePub and Kindle
The main topic of this book is the sudy of the interaction between two major subjects of modern mathematics, namely, the theory of Lie groups with its specific methods and ways of thinking on the one hand and complex analysis with all its analytic, algebraic and geometric aspects. More specifically, the author concentrates on the double role of Lie groups in complex analysis, namely, as groups of biholomorphic self-made of certain complex analytic objects on the one hand and as a special class of complex manifolds with an additional strong structure on the other hand. The book starts from the basics of this subject and introduces the reader into many fields of recent research.
Author | : Dimitrij Akhiezer |
Publisher | : Vieweg+Teubner Verlag |
Total Pages | : 204 |
Release | : 1995-01-01 |
Genre | : Mathematics |
ISBN | : 9783528064204 |
Download Lie Group Actions in Complex Analysis Book in PDF, ePub and Kindle
The main topic of this book is the sudy of the interaction between two major subjects of modern mathematics, namely, the theory of Lie groups with its specific methods and ways of thinking on the one hand and complex analysis with all its analytic, algebraic and geometric aspects. More specifically, the author concentrates on the double role of Lie groups in complex analysis, namely, as groups of biholomorphic self-made of certain complex analytic objects on the one hand and as a special class of complex manifolds with an additional strong structure on the other hand. The book starts from the basics of this subject and introduces the reader into many fields of recent research.
Author | : Dmitri Akhiezer |
Publisher | : |
Total Pages | : 216 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783322802682 |
Download Lie Group Actions in Complex Analysis Book in PDF, ePub and Kindle
Author | : Dong Hoon Lee |
Publisher | : CRC Press |
Total Pages | : 229 |
Release | : 2001-08-31 |
Genre | : Mathematics |
ISBN | : 1420035452 |
Download The Structure of Complex Lie Groups Book in PDF, ePub and Kindle
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
Author | : Bruce Gilligan |
Publisher | : American Mathematical Soc. |
Total Pages | : 242 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 0821844598 |
Download Symmetries in Complex Analysis Book in PDF, ePub and Kindle
"The theme of this volume concerns interactions between group actions and problems in complex analysis." "The first four articles deal with such topics as representation kernels in representation theory, complex automorphisms and holomorphic equivalence of domains, and geometric description of exceptional symmetric domains. The last article is devoted to Seiberg-Witten equations and Taubes correspondence on symplectic 4-manifolds."--BOOK JACKET.
Author | : Alexander A. Kirillov |
Publisher | : Cambridge University Press |
Total Pages | : 237 |
Release | : 2008-07-31 |
Genre | : Mathematics |
ISBN | : 0521889693 |
Download An Introduction to Lie Groups and Lie Algebras Book in PDF, ePub and Kindle
This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Author | : Wu-yi Hsiang |
Publisher | : World Scientific |
Total Pages | : 161 |
Release | : 2017-04-07 |
Genre | : Mathematics |
ISBN | : 981474073X |
Download Lectures On Lie Groups (Second Edition) Book in PDF, ePub and Kindle
This volume consists of nine lectures on selected topics of Lie group theory. We provide the readers a concise introduction as well as a comprehensive 'tour of revisiting' the remarkable achievements of S Lie, W Killing, É Cartan and H Weyl on structural and classification theory of semi-simple Lie groups, Lie algebras and their representations; and also the wonderful duet of Cartan's theory on Lie groups and symmetric spaces.With the benefit of retrospective hindsight, mainly inspired by the outstanding contribution of H Weyl in the special case of compact connected Lie groups, we develop the above theory via a route quite different from the original methods engaged by most other books.We begin our revisiting with the compact theory which is much simpler than that of the general semi-simple Lie theory; mainly due to the well fittings between the Frobenius-Schur character theory and the maximal tori theorem of É Cartan together with Weyl's reduction (cf. Lectures 1-4). It is a wonderful reality of the Lie theory that the clear-cut orbital geometry of the adjoint action of compact Lie groups on themselves (i.e. the geometry of conjugacy classes) is not only the key to understand the compact theory, but it actually already constitutes the central core of the entire semi-simple theory, as well as that of the symmetric spaces (cf. Lectures 5-9). This is the main reason that makes the succeeding generalizations to the semi-simple Lie theory, and then further to the Cartan theory on Lie groups and symmetric spaces, conceptually quite natural, and technically rather straightforward.
Author | : Wu Yi Hsiang |
Publisher | : World Scientific |
Total Pages | : 118 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 9789810235291 |
Download Lectures on Lie Groups Book in PDF, ePub and Kindle
This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints. For example, the orbital geometry of adjoint action, is regarded as the geometric organization of the totality of non-commutativity of a given compact connected Lie group, while the maximal tori theorem of . Cartan and the Weyl reduction of the adjoint action on G to the Weyl group action on a chosen maximal torus are presented as the key results that provide a clear-cut understanding of the orbital geometry.
Author | : Harriet Suzanne Katcher Pollatsek |
Publisher | : MAA |
Total Pages | : 194 |
Release | : 2009-09-24 |
Genre | : Mathematics |
ISBN | : 9780883857595 |
Download Lie Groups Book in PDF, ePub and Kindle
This textbook is a complete introduction to Lie groups for undergraduate students. The only prerequisites are multi-variable calculus and linear algebra. The emphasis is placed on the algebraic ideas, with just enough analysis to define the tangent space and the differential and to make sense of the exponential map. This textbook works on the principle that students learn best when they are actively engaged. To this end nearly 200 problems are included in the text, ranging from the routine to the challenging level. Every chapter has a section called 'Putting the pieces together' in which all definitions and results are collected for reference and further reading is suggested.
Author | : Connor Lazarov |
Publisher | : |
Total Pages | : 82 |
Release | : 1973 |
Genre | : Almost complex manifolds |
ISBN | : 9780821899366 |
Download Complex Actions of Lie Groups Book in PDF, ePub and Kindle