Braids and Self-Distributivity
Author:   Patrick Dehornoy
Publisher:   Birkhauser Verlag AG
Edition:   2000 ed.
Volume:   192
ISBN:  

9783764363437


Pages:   623
Publication Date:   01 July 2000
Format:   Hardback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Braids and Self-Distributivity


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Author:   Patrick Dehornoy
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2000 ed.
Volume:   192
Weight:   2.390kg
ISBN:  

9783764363437


ISBN 10:   3764363436
Pages:   623
Publication Date:   01 July 2000
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

A: Ordering the Braids.- I. Braids vs. Self-Distributive Systems.- II. Word Reversing.- III. The Braid Order.- IV. The Order on Positive Braids.- B: Free LD-systems.- V. Orders on Free LD-systems.- VI. Normal Forms.- VII. The Geometry Monoid.- VIII. The Group of Left Self-Distributivity.- IX. Progressive Expansions.- C: Other LD-Systems.- X. More LD-Systems.- XI. LD-Monoids.- XII. Elementary Embeddings.- XIII. More about the Laver Tables.- List of Symbols.

Reviews

In this book...P. Dehornoy has accomplished with remarkable success the task of presenting the area of interaction where Artin's braid groups, left self-distributive systems (LD-systems) and set theory come together in a rigorous and clear manner...The exposition is self-contained and there are no prerequisites. A number of basic results about braid groups, self-distributive algebras, and set theory are provided. --Mathematical Reviews


In this book...P. Dehornoy has accomplished with remarkable success the task of presenting the area of interaction where Artin's braid groups, left self-distributive systems (LD-systems) and set theory come together in a rigorous and clear manner...The exposition is self-contained and there are no prerequisites. A number of basic results about braid groups, self-distributive algebras, and set theory are provided. --Mathematical Reviews


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