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Other titles in the Lecture Notes in Computer Science series:

Elements of Mathematics. Lie Groups and Lie Algebras: Chapters 4-6 (Lecture Notes in Computer Science)

Elements of Mathematics. Lie Groups and Lie Algebras: Chapters 4-6 (Lecture Notes in Computer Science) Cover

 

Synopses & Reviews

Publisher Comments:

From the reviews of the French edition: "This is a rich and useful volume. The material it treats has relevance well beyond the theory of Lie groups and algebras, ranging from the geometry of regular polytopes and paving problems to current work on finite simple groups having a (B,N)-pair structure, or "Tits systems". A historical note provides a survey of the contexts in which groups generated by reflections have arisen. A brief introduction includes almost the only other mention of Lie groups and algebras to be found in the volume. Thus the presentation here is really quite independent of Lie theory. The choice of such an approach makes for an elegant, self-contained treatment of some highly interesting mathematics, which can be read with profit and with relative ease by a very wide circle of readers (and with delight by many, if the reviewer is at all representative)."(G.B. Seligman in MathReviews)

Synopsis:

Includes bibliographical references (p. [254]-257) and index.

Table of Contents

Ch. IV. Coxeter Groups and Tits Systems: Coxeter Groups. Tits Systems.- Ch. V. Groups Generated by Reflections: Hyperplanes, Chambers and Facets. Reflections. Groups of Displacements Generated by Reflections. The Geometric Representation of a Coxeter Group. Invariants in the Symmetric Algebra. The Coxeter Transformation.- Ch. VI. Root Systems: Root Systems. Affine Weyl Group. Exponential Invariants. Classification of Root Systems.- Historical Note.

Product Details

ISBN:
9783540426509
Subtitle:
Lie Groups and Lie Algebras
Translator:
Pressley, A.
Translator:
Pressley, A.
Author:
Bourbaki, Nicolas
Author:
Pressley, A.
Author:
Bourbaki, N.
Publisher:
Libri
Location:
New York
Subject:
Algebra - Linear
Subject:
Group Theory
Subject:
Lie groups
Subject:
Lie algebras
Subject:
Weyl groups.
Subject:
Coxeter groups
Subject:
Root systems
Subject:
BN-pairs
Subject:
Tits systems
Subject:
semi-simple Lie algebras
Edition Number:
1
Edition Description:
Includes bibliographical references and index.
Series:
Lecture Notes in Computer Science
Series Volume:
2682
Publication Date:
January 2002
Binding:
Hardback
Language:
English
Illustrations:
Y
Pages:
316
Dimensions:
9.46x6.44x.88 in. 1.28 lbs.

Related Subjects

Science and Mathematics » Mathematics » Group Theory

Elements of Mathematics. Lie Groups and Lie Algebras: Chapters 4-6 (Lecture Notes in Computer Science)
0 stars - 0 reviews
$ In Stock
Product details 316 pages Springer-Verlag - English 9783540426509 Reviews:
"Synopsis" by , Includes bibliographical references (p. [254]-257) and index.
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