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Beschreibung
Lie theory is essential to many parts of mathematics and theoretical physics, and lie algebras have become a central subject in their own right. This is the first and only book to provide a basic algebraic introduction that has been designed specifically for undergraduates, and that covers all the core material required for all other work in Lie theory. Everything is kept as simple as possible so the only mathematics required is linear algebra, and there are plenty of worked examples and exercises making it ideal for self-study. This will be an essential text for lecturers and undergraduates in mathematics and theoretical physics.
Lie theory is essential to many parts of mathematics and theoretical physics, and lie algebras have become a central subject in their own right. This is the first and only book to provide a basic algebraic introduction that has been designed specifically for undergraduates, and that covers all the core material required for all other work in Lie theory. Everything is kept as simple as possible so the only mathematics required is linear algebra, and there are plenty of worked examples and exercises making it ideal for self-study. This will be an essential text for lecturers and undergraduates in mathematics and theoretical physics.
Über den Autor
Karin Erdmann is a well-known and respected algebraist at the international level, with extensive experience in writing and teaching.
Zusammenfassung

Lie theory is essential to many parts of mathematics and theoretical physics, and lie algebras have become a central subject in their own right. This is the first and only book to provide a basic algebraic introduction that has been designed specifically for undergraduates, and that covers all the core material required for all other work in Lie theory. Everything is kept as simple as possible so the only mathematics required is linear algebra, and there are plenty of worked examples and exercises making it ideal for self-study. This will be an essential text for lecturers and undergraduates in mathematics and theoretical physics.

Inhaltsverzeichnis
Ideals and Homomorphisms.- Low-Dimensional Lie Algebras.- Solvable Lie Algebras and a Rough Classification.- Subalgebras of gl(V).- Engel's Theorem and Lie's Theorem.- Some Representation Theory.- Representations of sl(2, C).- Cartan's Criteria.- The Root Space Decomposition.- Root Systems.- The Classical Lie Algebras.- The Classification of Root Systems.- Simple Lie Algebras.- Further Directions.- Appendix A: Linear Algebra.- Appendix B: Weyl's Theorem.- Appendix C: Cartan Subalgebras.- Appendix D: Weyl Groups.- Appendix E: Answers to Selected Exercises.
Details
Erscheinungsjahr: 2006
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: xii
251 S.
ISBN-13: 9781846280405
ISBN-10: 1846280400
Sprache: Englisch
Herstellernummer: 11332954
Einband: Kartoniert / Broschiert
Autor: Erdmann, K.
Wildon, Mark J.
Hersteller: Springer
Springer-Verlag London Ltd.
Springer Undergraduate Mathematics Series
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 178 x 15 mm
Von/Mit: K. Erdmann (u. a.)
Erscheinungsdatum: 15.05.2006
Gewicht: 0,466 kg
Artikel-ID: 102285765