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OverviewAlthough 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. Full Product DetailsAuthor: Christophe Reutenauer (Professor, Department de Mathématiques-Informatique, Professor, Department de Mathématiques-Informatique, Université du Québec à Montreal, Canada)Publisher: Oxford University Press Imprint: Clarendon Press Volume: 7 Dimensions: Width: 15.90cm , Height: 2.00cm , Length: 24.20cm Weight: 0.590kg ISBN: 9780198536796ISBN 10: 0198536798 Pages: 286 Publication Date: 06 May 1993 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsIntroduction ; 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 ; IndexReviews...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 chosen results 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 this publication. Hartmut Laue, Mathematical Reviews, Issue 94j Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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