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Braids and Self-Distributivity
Patrick Dehornoy
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Description for Braids and Self-Distributivity
Hardback. Series: Progress in Mathematics. BIC Classification: PBP. Dimension: 235 x 155. Weight in Grams: 2390.
The aim of this book is to present recently discovered connections between Artin's braid groups En and left self-distributive systems (also called LD systems), which are sets equipped with a binary operation satisfying the left self-distributivity identity x(yz) = (xy)(xz). (LD) Such connections appeared in set theory in the 1980s and led to the discovery in 1991 of a left invariant linear order on the braid groups. Braids and self-distributivity have been studied for a long time. Braid groups were introduced in the 1930s by E. Artin, and they have played an increas ing role in mathematics in view of ... Read more
The aim of this book is to present recently discovered connections between Artin's braid groups En and left self-distributive systems (also called LD systems), which are sets equipped with a binary operation satisfying the left self-distributivity identity x(yz) = (xy)(xz). (LD) Such connections appeared in set theory in the 1980s and led to the discovery in 1991 of a left invariant linear order on the braid groups. Braids and self-distributivity have been studied for a long time. Braid groups were introduced in the 1930s by E. Artin, and they have played an increas ing role in mathematics in view of ... Read more
Product Details
Format
Hardback
Publication date
2000
Publisher
Birkhauser Basel
Language
English
Condition
New
Series
Progress in Mathematics
Number of Pages
623
Place of Publication
Basel, Switzerland
ISBN
9783764363437
SKU
V9783764363437
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Braids and Self-Distributivity
"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." ... Read more