Free Lie Algebras

Erscheinungsjahr 1993
ISBN: 978-0-19-853679-6
Verlag: Oxford University Press

Buch, Englisch, 286 Seiten, Print PDF, Format (B × H): 159 mm x 242 mm, Gewicht: 590 g

Although Lie polynomials first appeared at the turn of the century, there have been many recent developments especially from the point of view of representation theory. This book covers all aspects, with emphasis on the algebraic and combinatorial point of view as well as representation theory.

Although Lie polynomials first appeared at the turn of the century, there have been many recent developments especially from the point of view of representation theory. This book covers all aspects, with emphasis on the algebraic and combinatorial point of view as well as representation theory.

Autoren/Hrsg.

Reutenauer, Christophe

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Operations Research Graphentheorie

Inhaltsverzeichnis

- Introduction

- 1: Free Lie algebras

- 2: Lie polynomials

- 3: Algebraic properties

- 4: Logarithms and exponentials

- 5: Hall bases

- 6: Applications of Hall sets

- 7: Shuffle algebra and subwords

- 8: Circular words

- 9: the action of the symmetric group

- 10: The Solomon descent algebra

- References

- Index