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Lie groups and Lie algebras chapters 4- 6

By: Material type: TextTextLanguage: English Original language: French Series: Elements of mathematicsPublication details: Berlin: Springer, 2008.Description: 2 v. (xi, 300 p.); 24 cmISBN:
  • 9783540691716
Subject(s): Other classification:
  • B27m09 P8 NBHM
Summary: "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)."
Item type: Textual
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Textual Textual Faculty of Mathematical Sciences Library Central Science Library B27m09 P8 NBHM (Browse shelf(Opens below)) Available SL1656242

Translation of Groupes et algèbres de Lie.

Includes index.

Bibliography: v. 1, p. 430-433.

"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)."

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