An alternative approach to Lie groups and geometric structures /

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Bibliographic Details
Main Authors: Ortaçgi̇l, Ercüment H
Published: Oxford University Press,
Publisher Address: Oxford, United Kingdom :
Publication Dates: 2018.
Literature type: Book
Language: English
Edition: First edition.
Subjects:
Carrier Form: xii, 211 pages ; 24 cm
Bibliography: Includes bibliographical references (pages [209]-211) and index.
ISBN: 9780198821656
0198821654
Index Number: QA387
CLC: O186.1
O152.5
Call Number: O152.5/O771
Contents: Part I. Fundamental Concepts; 0: Introduction; 1: ParallelizableManifolds; 2: The Nonlinear Curvature; 3: Local Lie Groups; 4: The Centralizer; 5: [epsilon]-Invariance; 6: The Linear Curvature; 7: The Structure Object; PART II. SomeConsequences; 8: The Nonlinear Spencer Sequence; 9: Deformations; 10: The de Rham Cohomology of an LLG; 11: The Linear Spencer Sequence; 12: The Secondary Characteristic Classes; 13: The Homogeneous Flow; 14: The Van Est Theorem; 15: The Symmetry Group
PART III. How to Generalize?; Introduction to Part III; 16: Klein Geometries; 17: The Universal Jet Groupoids; 18: Embeddings of Klein Geometries into Universal Jet Groupoids; 19: The Definition of a Prehomogeneous Geometry (PHG); Example 1; Example 2; Example 3; Example 4; 20: Curvature and Generalized PHGs; Appendix torsion-Free Connections; References; Index