Combinatorics of Minuscule Representations

Combinatorics of Minuscule Representations

AngličtinaPevná väzbaTlač na objednávku
Green, R. M.
Cambridge University Press
EAN: 9781107026247
Tlač na objednávku
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Podrobné informácie

Minuscule representations occur in a variety of contexts in mathematics and physics. They are typically much easier to understand than representations in general, which means they give rise to relatively easy constructions of algebraic objects such as Lie algebras and Weyl groups. This book describes a combinatorial approach to minuscule representations of Lie algebras using the theory of heaps, which for most practical purposes can be thought of as certain labelled partially ordered sets. This leads to uniform constructions of (most) simple Lie algebras over the complex numbers and their associated Weyl groups, and provides a common framework for various applications. The topics studied include Chevalley bases, permutation groups, weight polytopes and finite geometries. Ideal as a reference, this book is also suitable for students with a background in linear and abstract algebra and topology. Each chapter concludes with historical notes, references to the literature and suggestions for further reading.
EAN 9781107026247
ISBN 1107026245
Typ produktu Pevná väzba
Vydavateľ Cambridge University Press
Dátum vydania 21. februára 2013
Stránky 330
Jazyk English
Rozmery 231 x 155 x 23
Krajina United Kingdom
Čitatelia Tertiary Education
Autori Green, R. M.
Ilustrácie Worked examples or Exercises
Séria Cambridge Tracts in Mathematics