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Full Product Details

Author:   Ercüment H. Ortaçgil (Professor Emeritus, Professor Emeritus, Bogazici University)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.30cm , Height: 1.70cm , Length: 24.00cm
Weight:   0.534kg
ISBN:  

9780198821656

ISBN 10:   0198821654
Pages:   228
Publication Date:   24 July 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
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Table of Contents

Fundemental concepts 1: Parallelizable manifolds 2: The nonlinear curvature 3: Local Lie Groups (LLG.s) 4: The centralizer 5: s-invariance 6: The linear curvature 7: The structure object Some Consequences 8: The nonlinear Spencer sequence 9: Deformations 10: The de Rham cohomology of a LLG 11: The linear Spencer sequence 12: The secondary characteristic classes 13: The homogeneous flow 14: The Van Est Theorem 15: The symmetry group How to Generalize 16: Klein geometries 17: The universal jet groupoids 18: Embeddings of Klein geometries into universal jet groupoids 19: The de.nition of a prehomogeneous geometry (PHG) 20: Curvature and generalized PHG.s

Reviews

In this very nice and unusual book, the author proposes an alternative approach to the theory of Lie groups, together with some applications and generalization of it. The approach proposed is inspired by the geometric theory of partial differential equations (PDEs) and Lie pseudogroups. In this respect, it is much closer in spirit to the original works of Lie and Klein than the current modern theory...The book is suitable for students at a master's level. * Luca Vitagliano, American Mathematical Society *

Author Information

Professor Ercüment Ortaçgil received his PhD from Johns Hopkins University in 1985, and then returned home to Turkey to join the mathematics department at Bogazici University, Istanbul. He retired in 2011, and set his mind to the writing this book to inspire further research on the seemingly elementary problems that have enamoured him throughout his career.

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