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Connections, Curvature, and Cohomology. Vol. 2: Lie Groups, Principal Bundles, and Characteristic Classes (Pure and Applied Mathematics Series; v. 47-II) by Werner Hildbert Greub, Stephen Halperin, Ray Vanstone is a nonfiction available to read on EtoBox.
What is Connections, Curvature, and Cohomology. Vol. 2: Lie Groups, Principal Bundles, and Characteristic Classes (Pure and Applied Mathematics Series; v. 47-II) about?
Cover Series Title page Date-line Dedication Contents Preface Introduction Contents of Volumes I and III Chapter 0 Algebraic and Analytic Preliminaries 1. Linear algebra 2. Homological algebra 3. Analysis and topology 4. Summary of volume I Chapter I Lie Groups 1. Lie algebra of a Lie group 2. The exponential map 3. Representations 4. Abelian Lie groups 5. Integration on compact Lie groups Problems Chapter II Subgroups and Homogeneous Spaces 1. Lie subgroups 2. Linear groups 3. Homogeneous spaces 4. The bundle structure of a homogeneous space 5. Maximal tori Problems Chapter III Transformation Groups 1. Action of a Lie group 2. Orbits of an action 3. Vector fields 4. Differential forms 5. Invariant cross-sections Problems Chapter IV Invariant Cohomology 1. Group actions 2. Left invariant forms on a Lie group 3. Invariant cohomology of Lie groups 4. Cohomology of compact connected Lie groups 5. Homogeneous spaces Problems Chapter V Bundles with Structure Group 1. Principal bundles 2. Associated bundles 3. Bundles and homogeneous spaces 4. The Grassmannians 5. The Stiefel manifolds 6. The cohomology of the Stiefel manifolds and the classical groups Problems Chapter VI Principal Conne
Who reads Connections, Curvature, and Cohomology. Vol. 2: Lie Groups, Principal Bundles, and Characteristic Classes (Pure and Applied Mathematics Series; v. 47-II)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Werner Hildbert Greub, Stephen Halperin, Ray Vanstone
- Publisher
- Academic Press, Incorporated
- Published
- 1973
- Language
- EN
- ISBN
- 9780080873619
- Category
- nonfiction
- Subjects
- Computer Science, Mathematics, Stem
Other editions & translations
- Connections, Curvature, and Cohomology Volume 2: Lie Groups, Principal Bundles, and Characteristic Classes (1973)
- Connections, Curvature, and Cohomology Volume 2: Lie Groups, Principal Bundles, and Characteristic Classes (1974)
- Connections, Curvature, and Cohomology. Vol. 2: Lie Groups, Principal Bundles, and Characteristic Classes (Pure and Applied Mathematics Series; v. 47-II) (1974)
- Spectral Theory of Random Matrices (1973)
- Lie Gronps, Principal Bundles, and Characteristic Classes (1972)
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