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Advances in geometry and Lie algebras from supergravity

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"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 occurred under the fertilizing influence of supersymmetry/supergravity. The contents are mainly of mathematical nature,  Read more...

Abstract:
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.  Read more...

Author(s): Fre P.G.
Series: Theoretical and mathematical physics (Springer (Firm))
Publisher: Springer International Publishers
Year: 2018

Language: English
Pages: 556
Tags: Geometry, Differential.;Lie algebras.;Supergravity.

Content: Finite groups and Lie algebras: the ADE classification and beyond --
Isometries and the geometry of coset manifolds --
Complex and quaternionic geometry --
Special geometries --
Solvable algebras and the Tits Satake projection --
Black holes and nilpotent orbits --
E₇, F₄ and supergravity scalar potentials --
(Hyper)Kähler quotients, ALE-manifolds and Cn/ [gamma] singularities --
Epilogue.