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Title Details:
Lie Groups
Authors: Arvanitogeorgos, Andreas
Reviewer: Platis, Ioannis
Subject: MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > DIFFERENTIAL GEOMETRY > GLOBAL DIFFERENTIAL GEOMETRY
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS >
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > DIFFERENTIAL GEOMETRY > APPLICATIONS TO PHYSICS
Keywords:
Lie Group
Left Translation
Right Translation
Left-invariant Vector Field
Lie Algebra
One-parametric Subgroup
Exponential Map
Classical Group
Description:
Abstract:
Lie Groups.
Table of Contents:
- Definition and examples
- Lie groups of small dimension
- The tangent space of a Lie
- The Lie algebra of a Lie
- Relation between Lie groups and και Lie algebras
- One-parameter subgroups and the exponential map
- Problems
Linguistic Editors: Gyftopoulou, Ourania
Technical Editors: Christodoulopoulos, Elias
Graphic Editors: Statha, Marina
Type: Chapter
Creation Date: 12-10-2015
Item Details:
License: Attribution – NonCommercial – NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Handle http://hdl.handle.net/11419/150
Bibliographic Reference: Arvanitogeorgos, A. (2015). Lie Groups [Chapter]. In Arvanitogeorgos, A. 2015. Geometry of Manifolds [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/150
Language: Greek
Is Part of: Geometry of Manifolds
Number of pages 25
Publication Origin: Kallipos, Open Academic Editions