Titlebook: Reflection Groups and Invariant Theory; Richard Kane,Jonathan Borwein,Peter Borwein Textbook 2001 Springer Science+Business Media New York

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Richard Kane,Jonathan Borwein,Peter Borwein with fault analysis in public key cryptography, with chapters dedicated to classical RSA and RSA-CRT implementations, elliptic curve cryptosystems and countermeasures using fault detection, devices resilient t978-3-642-43677-2978-3-642-29656-7Series ISSN 1619-7100 Series E-ISSN 2197-845X

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Richard Kane,Jonathan Borwein,Peter Borwein with fault analysis in public key cryptography, with chapters dedicated to classical RSA and RSA-CRT implementations, elliptic curve cryptosystems and countermeasures using fault detection, devices resilient t978-3-642-43677-2978-3-642-29656-7Series ISSN 1619-7100 Series E-ISSN 2197-845X

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Introduction: Reflection groups and invariant theoryding its orthogonal vectors to their negatives. A . is, then, any group of transformations generated by such reflections. The purpose of this book is to study such groups and their associated invariant theory, outlining the deep and elegant theory that they possess.

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Root systems into linear algebra of the geometric configuration formed by the reflecting hyperplanes associated with a reflection group. This reformulation is extremely important. The use of linear algebra enables us to analyze finite reflection groups with great efficiency. All of Chapters 2, 3, 4 and 6 will b

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Length The main purpose of this chapter is to introduce the concept of length in a reflection group and to explain how length is related to the action of the reflection group on its root system and on its Weyl chambers. The main application of length will come in Chapter 6, when we prove that a finite Euc

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