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CMS Books in Mathematics #5: Reflection Groups and Invariant Theory

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CMS Books in Mathematics #5: Reflection Groups and Invariant Theory Cover

 

Synopses & Reviews

Publisher Comments:

Reflection Groups and their invariant theory provide the main themes of this book and the first two parts focus on these topics. The first 13 chapters deal with reflection groups (Coxeter groups and Weyl groups) in Euclidean Space while the next thirteen chapters study the invariant theory of pseudo-reflection groups. The third part of the book studies conjugacy classes of the elements in reflection and pseudo-reflection groups. The book has evolved from various graduate courses given by the author over the past 10 years. It is intended to be a graduate text, accessible to students with a basic background in algebra. Richard Kane is a professor of mathematics at the University of Western Ontario. His research interests are algebra and algebraic topology. Professor Kane is a former President of the Canadian Mathematical Society.

Synopsis:

Reflection groups and invariant theory is a branch of the intersection between geometry and algebra. It has deep and elegant theory which is both of great interest in its own right and also related to other significant areas of mathematics. This book is an accessible introduction to the material, and requires only a basic background in algebra.

Table of Contents

* Reflection Groups * Coxeter Groups * Weyl Groups * Pseudo-Reflection Groups * Rings of Invariants * Skew Invariants * Ring of Covariants * Conjugacy Classes * Eigenvalues * Appendices

Product Details

ISBN:
9780387989792
Author:
Kane, Richard
Publisher:
Springer
Location:
New York, NY
Subject:
Mathematical Analysis
Subject:
Geometry - General
Subject:
Algebra - General
Subject:
Group Theory
Subject:
Invariants
Subject:
Reflection groups
Subject:
Analysis
Subject:
Mathematics-Group Theory
Subject:
Geometry
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
CMS Books in Mathematics
Series Volume:
245
Publication Date:
20010621
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
388
Dimensions:
235 x 155 mm 700 gr

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Related Subjects


Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Group Theory
Science and Mathematics » Physics » General

CMS Books in Mathematics #5: Reflection Groups and Invariant Theory New Hardcover
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$103.25 In Stock
Product details 388 pages Springer-Verlag - English 9780387989792 Reviews:
"Synopsis" by , Reflection groups and invariant theory is a branch of the intersection between geometry and algebra. It has deep and elegant theory which is both of great interest in its own right and also related to other significant areas of mathematics. This book is an accessible introduction to the material, and requires only a basic background in algebra.
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