Matches in Harvard for { <http://id.lib.harvard.edu/aleph/008633738/catalog> ?p ?o. }
Showing items 1 to 25 of
25
with 100 items per page.
- catalog abstract "This book is a (post)graduate textbook on 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.".
- catalog contributor b12090497.
- catalog contributor b12090498.
- catalog created "c2000.".
- catalog date "2000".
- catalog date "c2000.".
- catalog dateCopyrighted "c2000.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Preface -- Lie Groups and Lie Algebras: 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; 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; Exercises -- Proper Actions: 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 -- Compact Lie Groups: Centralizers; The Adjoint Action; Connectedness of Centralizers; The Group of Rotations and its Covering Group;...... Representations of Compact Groups: ... Schur's Lemma; Averaging; The Peter-Weyl Theorem; .... Weight Exercises; The Borel-Weil Theorem.... -- Appendix.".
- catalog description "This book is a (post)graduate textbook on 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.".
- catalog extent "viii, 344 p. :".
- catalog identifier "3540152938 (softcover)".
- catalog isPartOf "Universitext".
- catalog issued "2000".
- catalog issued "c2000.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "512/.55 21".
- catalog subject "Lie groups.".
- catalog subject "Mathematics.".
- catalog subject "QA387 .D85 2000".
- catalog subject "Topological Groups.".
- catalog tableOfContents "Preface -- Lie Groups and Lie Algebras: 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; 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; Exercises -- Proper Actions: 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 -- Compact Lie Groups: Centralizers; The Adjoint Action; Connectedness of Centralizers; The Group of Rotations and its Covering Group;...... Representations of Compact Groups: ... Schur's Lemma; Averaging; The Peter-Weyl Theorem; .... Weight Exercises; The Borel-Weil Theorem.... -- Appendix.".
- catalog title "Lie groups / J.J. Duistermaat, J.A.C. Kolk.".
- catalog type "text".