E-Book, Englisch, Band 35, 370 Seiten, Format (B × H): 155 mm x 230 mm
Nagy / Strambach Loops in Group Theory and Lie Theory
Nachdruck 2011
ISBN: 978-3-11-090058-3
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
E-Book, Englisch, Band 35, 370 Seiten, Format (B × H): 155 mm x 230 mm
Reihe: De Gruyter Expositions in Mathematics
ISBN: 978-3-11-090058-3
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Aix-Marseille Université, France
Katrin Wendland, Trinity College Dublin, Dublin, Ireland Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)
Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)
Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)
Volker Mayer, Mariusz Urbanski, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)
Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
Autoren/Hrsg.
Weitere Infos & Material
Preface · Notation · Introduction Part I: General theory of transitive sections in groups and the geometry of loops Elements of the theory of loops · Scheerer extensions of loops · Nets associated with loops · Local 3-nets · Loop-sections covered by 1-parameter subgroups and geodesic loops · Bol loops and symmetric spaces · Bol nets · Strongly topological and analytic Bol loops · Core of a Bol loop and Bruck loops · Bruck loops and symmetric quasigroups over groups · Topological and differentiable Bruck loops · Bruck loops in algebraic groups · Core-related Bol loops · Products and loops as sections in compact Lie groups · Loops on symmetric spaces of groups · Loops with compact translation groups and compact Bol loops · Sharply transitive normal subgroups Part II: Smooth loops on low dimensional manifolds Loops on 1-manifolds · Topological loops on 2-dimensional manifolds · Topological loops on tori · Topological loops on the cylinder and on the plane · The hyperbolic plane loop and its isotopism class · 3-dimensional solvable left translation groups · Classification of differentiable 2-dimensional Bol loops · Collineation groups of 4-dimensional Bol nets · Strongly left alternative plane left A-loops · Loops with Lie group of all translations · Multiplicative loops of quasifields Bibliography
