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作者 Ortaçgil, Ercüment H. author
書名 An alternative approach to Lie groups and geometric structures / Ortaçgil, Ercüment H.
出版項 Oxford, United Kingdom ; New York, NY : Oxford University Press, 2018
國際標準書號 9780198821656
0198821654
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA387 O78 2018    在架上    30340200559684
版本 First edition
說明 xii, 211 pages ; 24 cm
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
附註 Includes bibliographical references (pages 209-211) and index
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
主題 Lie groups
Geometry, Differential
Geometry, Algebraic embucm
Geometrie. (DE-588)4020236-7 gnd
Lie-Gruppe. (DE-588)4035695-4 gnd
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