Advances in Geometry and Lie Algebras from...

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy and is currently serving as Scientific Counsellor of the Italian Embassy in Moscow. He has taught General Relativity for 15 years. His scientific passion lies in supergravity and all allied topics, since the inception of the field, in 1976. He was professor at SISSA, worked in the USA and at CERN. He has taught General Relativity for 15 years. He has previously published four scientific monographs. He is also the author of a popular science book on cosmology ("Il fascino oscuro dell'inflazione", Springer 2009), and two novels, in Italian.

Zusammenfassung

A graduate level text for students and young researchers with interests in the applications of differential geometry to mathematical physics

A useful reference that connects the topics of differential geometry and Lie group algebra to high energy physics research problems

Enriched with historical introductions to all chapters

Inhaltsverzeichnis

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.

Erscheinungsjahr:	2018
Fachbereich:	Atomphysik & Kernphysik
Genre:	Mathematik , Medizin , Naturwissenschaften , Physik , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xx 556 S. 32 s/w Illustr. 32 farbige Illustr. 556 p. 64 illus. 32 illus. in color.
ISBN-13:	9783319744902
ISBN-10:	3319744909
Sprache:	Englisch
Herstellernummer:	978-3-319-74490-2
Einband:	Gebunden
Autor:	Frè, Pietro Giuseppe
Auflage:	1st edition 2018
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 35 mm
Von/Mit:	Pietro Giuseppe Frè
Erscheinungsdatum:	08.03.2018
Gewicht:	1,126 kg