Advances in Geometry and Lie Algebras from Supergravity

This book aims to provide an overview of several topics in advanced Differential Geometry and Lie Group Theory, all of them stemming from mathematical problems in supersymmetric physical theories. It presents a mathematical illustration of the main development in geometry and symmetry theory that oc...

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Bibliographic Details
Main Author: Frè, Pietro Giuseppe
Format: eBook
Language:English
Published: Cham Springer International Publishing 2018, 2018
Edition:1st ed. 2018
Series:Theoretical and Mathematical Physics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1 Finite Groups and Lie Algebras
  • 2 Isometries and the Geometry of COSET Manifolds
  • 3 Complex and Quaternionic Geometry
  • 4 Special Geometries
  • 5 Solvable Algebras and the TITS Satake Projection
  • 6 Black Holes and Nilpotent Orbits
  • 7 E7, F4 and supergravitiy scalar potentials
  • 8 (Hyper)Kaehler Quotients, Ale-Manifolds and Cn/Γ Singularities
  • 9 Epilogue
  • 10 The Bibliography