Free Lie Algebras

Hardcover | November 1, 1995

byChristophe Reutenauer

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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 representationtheory.

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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 representationtheory.

Christophe Reutenauer is at Universite du Quebec a Montreal.

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Format:HardcoverPublished:November 1, 1995Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198536798

ISBN - 13:9780198536796

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Table of Contents

Introduction1. Free Lie algebras2. Lie polynomials3. Algebraic properties4. Logarithms and exponentials5. Hall bases6. Applications of Hall sets7. Shuffle algebra and subwords8. Circular words9. the action of the symmetric group10. The Solomon descent algebraReferencesIndex

Editorial Reviews

`...expertly composed and skilfully organized. A book which involves a wealth of intricate and brand new lines of development should not be expected to be read easily, despite all conceptual clearness and lucidity of style. In this review, only a very small selection of exemplarily chosenresults have been mentioned. The list of references consists of 233 items. The earliest are from the very first days of the theory, but almost exactly one quarter of them stem from the years 1989-1993. This fact, too, although a formal one, gives emphasis to the importance and timeliness of thispublication.'Hartmut Laue, Mathematical Reviews, Issue 94j