The Resource Lie groups, Johannes J. Duistermaat, Johan A.C. Kolk

Lie groups, Johannes J. Duistermaat, Johan A.C. Kolk

Label
Lie groups
Title
Lie groups
Statement of responsibility
Johannes J. Duistermaat, Johan A.C. Kolk
Creator
Contributor
Subject
Language
eng
Summary
"This is a (post)graduate textbook an Lie groups and Lie algebras. Its aim is to give a broad introduction to the field with an emphasis on using differential-geometrical methods, in the spirit of Lie himself. The structure of compact Lie groups is analyzed in terms of the action of the group on itself by conjugation. The book culminates in the classification of the representations of compact Lie groups and in their realization as sections of holomorphic line bundles over flag manifolds. The relations with algebraic and analytic models are also discussed. A review of the required background material is provided in appendices."--Jacket
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1942-
http://library.link/vocab/creatorName
Duistermaat, J. J.
Illustrations
illustrations
Index
index present
LC call number
QA387
LC item number
.D85 2000
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1947-
http://library.link/vocab/relatedWorkOrContributorName
Kolk, Johan A. C.
Series statement
Universitext.
http://library.link/vocab/subjectName
  • Lie groups
  • Lie groups
  • Lie-groepen
  • Lie, Groupes de
Label
Lie groups, Johannes J. Duistermaat, Johan A.C. Kolk
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Dynkin's Formula.
  • Lie's Fundamental Theorems.
  • The Component of the Identity.
  • Lie Subgroups and Homomorphisms.
  • Quotients.
  • Connected Commutative Lie Groups.
  • Simply Connected Lie Groups.
  • Lie's Third Fundamental Theorem in Global Form
  • 2.
  • Proper Actions.
  • 1.
  • Review.
  • Bochner's Linearization Theorem.
  • Slices.
  • Associated Fiber Bundles.
  • Smooth Functions on the Orbit Space.
  • Orbit Types and Local Action Types.
  • The Stratification by Orbit Types.
  • Principal and Regular Orbits.
  • Blowing Up
  • 3.
  • Lie Groups and Lie Algebras.
  • Compact Lie Groups.
  • Centralizers.
  • The Adjoint Action
  • Lie Groups and their Lie Algebras.
  • Examples.
  • The Exponential Map.
  • The Exponential Map for a Vector Space.
  • The Tangent Map of Exp.
  • The Product in Logarithmic Coordinates.
Dimensions
24 cm.
Extent
viii, 344 pages
Isbn
9783540152934
Lccn
99050197
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)42619683
  • (OCoLC)ocm42619683
Label
Lie groups, Johannes J. Duistermaat, Johan A.C. Kolk
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Dynkin's Formula.
  • Lie's Fundamental Theorems.
  • The Component of the Identity.
  • Lie Subgroups and Homomorphisms.
  • Quotients.
  • Connected Commutative Lie Groups.
  • Simply Connected Lie Groups.
  • Lie's Third Fundamental Theorem in Global Form
  • 2.
  • Proper Actions.
  • 1.
  • Review.
  • Bochner's Linearization Theorem.
  • Slices.
  • Associated Fiber Bundles.
  • Smooth Functions on the Orbit Space.
  • Orbit Types and Local Action Types.
  • The Stratification by Orbit Types.
  • Principal and Regular Orbits.
  • Blowing Up
  • 3.
  • Lie Groups and Lie Algebras.
  • Compact Lie Groups.
  • Centralizers.
  • The Adjoint Action
  • Lie Groups and their Lie Algebras.
  • Examples.
  • The Exponential Map.
  • The Exponential Map for a Vector Space.
  • The Tangent Map of Exp.
  • The Product in Logarithmic Coordinates.
Dimensions
24 cm.
Extent
viii, 344 pages
Isbn
9783540152934
Lccn
99050197
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)42619683
  • (OCoLC)ocm42619683

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