Reflection Groups and Coxeter Groups (Cambridge Studies in

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Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics, Series Number 29)
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In this graduate textbook Professor Humphreys presents a concrete and up-to-date introduction to the theory of Coxeter groups. He assumes that the reader has a good knowledge of algebra, but otherwise the book is self contained. The first part is devoted to establishing concrete examples; the author begins by developing the most important facts about finite reflection groups and related geometry, and showing that such groups have a Coxeter representation. In the next chapter these groups are classified by Coxeter diagrams, and actual realizations of these groups are discussed. Chapter 3 discusses the polynomial invariants of finite reflection groups, and the first part ends with a description of the affine Weyl groups and the way they arise in Lie theory. The second part (which is logically independent of, but motivated by, the first) starts by developing the properties of the Coxeter groups. Chapter 6 shows how earlier examples and others fit into the general classification of Coxeter diagrams. Chapter 7 is based on the very important work of Kazhdan and Lusztig and the last chapter presents a number of miscellaneous topics of a combinatorial nature.
Country USA
Brand Cambridge University Press
Manufacturer Cambridge University Press
Binding Paperback
Color Grey
ReleaseDate 1992-10-01
UnitCount 1
EANs 9780521436137

Country	USA
Brand	Cambridge University Press
Manufacturer	Cambridge University Press
Binding	Paperback
Color	Grey
ReleaseDate	1992-10-01
UnitCount	1
EANs	9780521436137

Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics, Series Number 29)

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