9781107026247

Combinatorics of Minuscule Representations

  • ISBN 13:

    9781107026247

  • ISBN 10:

    1107026245

  • Format: Hardcover
  • Copyright: 04/08/2013
  • Publisher: Cambridge Univ Pr

Note: Not guaranteed to come with supplemental materials (access cards, study guides, lab manuals, CDs, etc.)

Extend Your Rental at Any Time

Need to keep your rental past your due date? At any time before your due date you can extend or purchase your rental through your account.

Sorry, this item is currently unavailable.

Summary

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.

Write a Review