Advances in geometry and Lie algebras from supergravity
著者
書誌事項
Advances in geometry and Lie algebras from supergravity
（Theoretical and mathematical physics）
Springer, c2018
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注記
Includes bibliographical references
内容説明・目次
内容説明
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, but each topic is introduced by historical information and enriched with motivations from high energy physics, which help the reader in getting a deeper comprehension of the subject.
目次
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/ Singularities
9 Epilogue
10 The Bibliography
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