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Tuesday, July 21, 2020 | History

6 edition of Complex geometry and Lie theory found in the catalog.

Complex geometry and Lie theory

  • 209 Want to read
  • 29 Currently reading

Published by American Mathematical Society in Providence, R.I .
Written in English

    Subjects:
  • Geometry, Differential -- Congresses.,
  • Functions of complex variables -- Congresses.,
  • Lie algebras -- Congresses.

  • Edition Notes

    StatementJames A. Carlson, C. Herbert Clemens, and David R. Morrison.
    SeriesProceedings of symposia in pure mathematics ;, v. 53
    ContributionsCarlson, James A., 1946-, Clemens, C. Herbert 1939-, Morrison, David R., 1955-
    Classifications
    LC ClassificationsQA641 .C6143 1991
    The Physical Object
    Paginationviii, 348 p. ;
    Number of Pages348
    ID Numbers
    Open LibraryOL1545930M
    ISBN 100821814923
    LC Control Number91025148

    Firstly, it should be accessible to a fairly broad mathematical audience and require only introductory algebraic geometry and Lie theory as prerequisites. Secondly, it aims to build a clear, intuitive, and reasonably self-contained foundation for more advanced topics in which complex adjoint orbits play a by: 5. I really like "Lie Groups and Lie Algebras" by Kirillov Jr. It's available here for free. It covers a lot of material in a relatively short book, so I recommend it if you're trying to get a good overview of what Lie theory is about. Fulton and Harris is all right, but I found the book to be too drawn out for its own good.

    Natural operations in differential geometry. This book covers the following topics: Manifolds And Lie Groups, Differential Forms, Bundles And Connections, Jets And Natural Bundles, Finite Order Theorems, Methods For Finding Natural Operators, Product Preserving Functors, Prolongation Of Vector Fields And Connections, General Theory Of Lie Derivatives. Differential Geometry and Lie Groups; Algebra, Topology, Differential Calculus and Optimization for computer Science and Machine Learning ; Aspects of Convex Geometry Polyhedra, Linear Programming, Shellings, Voronoi Diagrams, Delaunay Triangulations; Algebraic Geometry; Complex Algebraic Geometry; Algebra.

      Eleven books on geometry, topology, Twistor Geometry and Gauge Theory by Martin Wolf; Complex Geometry of Nature and General Relativity by Giampiero Esposito; Group Theory: Lie’s, Author: Kevin de Asis. This text presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie Price: $


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Complex geometry and Lie theory Download PDF EPUB FB2

The techniques developed are quite general and can be successfully applied to other areas such as quantum groups, affine Lie groups, and quantum field theory.

The first half of the book fills the gap between the standard knowledge of a beginner in Lie theory and the much wider background needed by the working by: This volume contains thirteen papers presented during the Symposium on Complex Geometry and Lie Theory held in Sundance, Utah in May The symposium was designed to review twenty years of interaction between these two fields, concentrating on their links with Hodge theory.

This text Complex geometry and Lie theory book an integrated development of core material from several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie by: symposium on complex geometry and Lie theory at the Sundance Center, Sundance, Utah.

The symposium was designed to review twenty years of interaction between these two fields, concentrating on their links with Hodge theory. This interaction began with the study of period mappings and variation of.

Abelian Varieties, Infinite-Dimensional Lie Algebras, and the Heat Equation 1 10 free Two Exotic Holonomies in Dimension Four, Path Geometries, and Twistor Theory 33 42 The Quartic Double Solid Revisited 89 Representation Theory and Complex Geometry.

Authors: Chriss, Neil, Ginzburg, Victor and quantum field theory. The first half of the book fills the gap between the standard knowledge of a beginner in Lie theory and the much wider background needed by the working mathematician.

Algebraic geometry and representation theory provide fertile ground for advancing work on these problems and others in complexity. This introduction to algebraic complexity theory for graduate students and researchers in computer science and mathematics features concrete examples that demonstrate the application of geometric techniques to real Cited by: The first half of the book fills the gap between the standard knowledge of a beginner in Lie theory and the much wider background needed by the working mathematician.

The book is largely self-contained There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory.

From the reviews: " focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics)"the book provides a large amount of background for current research across a spectrum of field.

textbook. This book does not cover every topic in geometry, but it will provide you with a brief course in plane geometry and it will help you to develop problem-solving skills.

It will help you to improve your mathematical abilities. This book is briefly divided into four chapters: Triangle, Quadrilaterals andFile Size: 3MB. Special emphasis is placed on homogeneous spaces and invariant geometric structures.

The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity.

Contains thirteen papers presented during the Symposium on Complex Geometry and Lie Theory held in Sundance, in The symposium was designed to review twenty years of interaction between these two fields, concentrating on their links with Hodge theory. Get this from a library. Complex geometry and Lie theory.

[James A Carlson; C Herbert Clemens; David R Morrison;] -- This book gives a treatment of exterior differential systems including both the general theory and various applications. Topics include: a review of exterior algebra, simple exterior differential. Chapter 3 gives the elements of Lie algebra theory in some consid-erable detail (except for the detailed structure of complex semisimple Lie algebras, which we defer until Chapter 7).

Chapter 4 deals with the structure of a compact connected Lie group in terms of a File Size: 2MB. This text presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups.

It includes a thorough treatment of the local theory using the tools of commutative.On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry. Duke Math. J., 41 (), – ArticleCited by: Complex Geometry and Lie Theory por James A.

Carlson,disponible en Book Depository con envío gratis. Complex Geometry and Lie Theory. 点击放大图片 出版社: American Mathematical Society. 作者: Yau, Shing-Tung; 出版时间: 年07月15 日. 10位国际标准书号: 13位国际标. This book covers the following topics: Manifolds And Lie Groups, Differential Forms, Bundles And Connections, Jets And Natural Bundles, Finite Order Theorems, Methods For Finding Natural Operators, Product Preserving Functors, Prolongation Of Vector Fields And Connections, General Theory Of Lie Derivatives.

Several Complex Variables with Connections to Algebraic Geometry and Lie Groups Share this page Joseph L. Taylor. This text presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to.

Complex hyperbolic geometry is a particularly rich field, drawing on Riemannian geometry, complex analysis, symplectic and contact geometry, Lie group theory, and harmonic analysis.

The boundary in complex hyperbolic spaces, known as spherical CR or Heisenberg geometry, reflects this richness. However, while there are a number of books on analysis in such spaces, this book. The book's strengths lie in the characteristics which distinguish it from other undergraduate complex analysis texts.

Throughout the book, numerous uncommon topics and rich examples tie complex analysis to farther areas of math, giving the reader a glimpse of the power of this intriguing subject.

This article is an introduction to complex adjoint orbits in algebraic geometry, Lie the- ory, and, to a lesser extent, the other fields mentioned above. I t is written with a view toAuthor: Peter Crooks.