Produktbild: Introduction to Lie Algebras

Introduction to Lie Algebras

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

15.05.2006

Abbildungen

XII, 251 p.

Verlag

Springer London

Seitenzahl

251

Maße (L/B/H)

23,5/17,8/1,5 cm

Gewicht

466 g

Auflage

2006

Sprache

Englisch

ISBN

978-1-84628-040-5

Beschreibung

Rezension

From the reviews:

“The book under review gives a very basic algebraic introduction to Lie algebras.

"Erdmann and Wildon’s book is more leisurely and chatty, and to my knowledge is the most readable … material that is currently in print. … In summary, I think this text may be the best pedagogical advance in the teaching of Lie algebras in the last few decades, and may in fact be the only textbook … genuinely suitable for undergraduates. … excellent book that should be carefully reviewed by anybody seeking a textbook for a course in the purelyalgebraic theory of Lie algebras." (Mark Hunacek, The Mathematical Gazette, Vol. 92 (524), 2008)

"Lie theory is a subject that is usually only taught in graduate school. … This book aims to break this barrier and gives an introduction to Lie algebras suitable for advanced undergraduate students. … contains many examples and exercises and the authors included answers to selected exercises. Overall this book is a very well thought out and well-written introduction to Lie algebras and it provides an excellent entry point into Lie theory for advanced undergraduates and early graduate students interested in learning about the subject." (Aloysius Helminck, Mathematical Reviews, Issue 2007 e)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

15.05.2006

Abbildungen

XII, 251 p.

Verlag

Springer London

Seitenzahl

251

Maße (L/B/H)

23,5/17,8/1,5 cm

Gewicht

466 g

Auflage

2006

Sprache

Englisch

ISBN

978-1-84628-040-5

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Introduction to Lie Algebras
  • 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.