Matrix Groups
An Introduction to Lie Group Theory
(Sprache: Englisch)
This book offers a first taste of the theory of Lie groups, focusing mainly on matrix groups: closed subgroups of real and complex general linear groups. The first part studies examples and describes classical families of simply connected compact groups....
Leider schon ausverkauft
versandkostenfrei
Buch
Fr. 52.90
inkl. MwSt.
- Kreditkarte, Paypal, Rechnungskauf
- 30 Tage Widerrufsrecht
Produktdetails
Produktinformationen zu „Matrix Groups “
This book offers a first taste of the theory of Lie groups, focusing mainly on matrix groups: closed subgroups of real and complex general linear groups. The first part studies examples and describes classical families of simply connected compact groups. The second section introduces the idea of a lie group and explores the associated notion of a homogeneous space using orbits of smooth actions. The emphasis throughout is on accessibility.
Klappentext zu „Matrix Groups “
This book offers a first taste of the theory of Lie groups, focusing mainly on matrix groups: closed subgroups of real and complex general linear groups. The first part studies examples and describes classical families of simply connected compact groups. The second section introduces the idea of a lie group and explores the associated notion of a homogeneous space using orbits of smooth actions. The emphasis throughout is on accessibility.
Inhaltsverzeichnis zu „Matrix Groups “
I. Basic Ideas and Examples.- 1. Real and Complex Matrix Groups.- 2. Exponentials, Differential Equations and One-parameter Subgroups.- 3. Tangent Spaces and Lie Algebras.- 4. Algebras, Quaternions and Quaternionic Symplectic Groups.- 5. Clifford Algebras and Spinor Groups.- 6. Lorentz Groups.- II. Matrix Groups as Lie Groups.- 7. Lie Groups.- 8. Homogeneous Spaces.- 9. Connectivity of Matrix Groups.- III. Compact Connected Lie Groups and their Classification.- 10. Maximal Tori in Compact Connected Lie Groups.- 11. Semi-simple Factorisation.- 12. Roots Systems, Weyl Groups and Dynkin Diagrams.- Hints and Solutions to Selected Exercises.
Bibliographische Angaben
- Autor: Andrew Baker
- 2003, 1st Corrected ed. 2002. Corr. 2nd printing 2003., 330 Seiten, Masse: 17,8 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, London
- ISBN-10: 1852334703
- ISBN-13: 9781852334703
- Erscheinungsdatum: 20.08.2003
Sprache:
Englisch
Rezension zu „Matrix Groups “
From the reviews of the first edition:
Kommentar zu "Matrix Groups"
0 Gebrauchte Artikel zu „Matrix Groups“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Matrix Groups".
Kommentar verfassen