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| Title Details: | |
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Lie groups |
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| Authors: |
Arvanitogeorgos, Andreas |
| Reviewer: |
Platis, Ioannis |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > DIFFERENTIAL GEOMETRY > GLOBAL DIFFERENTIAL GEOMETRY MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > TOPOLOGICAL GROUPS, LIE GROUPS > LIE GROUPS 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: |
Ορισμός, παραδείγματα (Gl_n(R), Gl_n(C), O(n), SO(n), Sp(n) κλπ), Αριστερά αναλλοίωτα διανυσματικά πεδία, O εφαπτόμενος χώρος, Η άλγεβρα Lie μια ομάδας Lie, Κλειστές υποομάδες Lie, Η συζυγής αναπαράσταση, Η μορφή Killing, Αριστερά αναλλοίωτες διαφορικές μορφές, μέγιστοι δακτύλιοι, ταξινόμηση συμπαγών και απλών ομάδων Lie (διατύπωση)
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| 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 |
| Type: |
Chapter |
| Creation Date: | 12-10-2015 |
| Item Details: | |
| License: |
http://creativecommons.org/licenses/by-nc-nd/3.0/gr |
| 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 |