Why are Braids Orderable?
by Patrick Dehornoy, at al.
2010
Number of pages: 206
Description:
In the decade since the discovery that Artin's braid groups enjoy a left-invariant linear ordering, several quite different approaches have been applied to understand this phenomenon. This book is an account of those approaches, involving self-distributive algebra, uniform finite trees, combinatorial group theory, mapping class groups, laminations, and hyperbolic geometry.
Download or read it online for free here:
Download link
(1.7MB, PDF)
Similar books
Groupoids and Smarandache Groupoidsby W. B. Vasantha Kandasamy - American Research Press
This book by Dr. W. B. Vasantha aims to give a systematic development of the basic non-associative algebraic structures viz. Smarandache groupoids. Smarandache groupoids exhibits simultaneously the properties of a semigroup and a groupoid.
(6842 views)
Group Characters, Symmetric Functions, and the Hecke Algebraby David M. Goldschmidt - American Mathematical Society
The book covers a set of interrelated topics, presenting a self-contained exposition of the algebra behind the Jones polynomial along with various excursions into related areas. Directed at graduate students and mathematicians.
(8244 views)
Introduction to Lie Groups and Lie Algebrasby Alexander Kirillov, Jr. - SUNY at Stony Brook
The book covers the basic contemporary theory of Lie groups and Lie algebras. This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style.
(10532 views)
Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equationsby K. Yosida - Tata Institute of Fundamental Research
In these lectures, we shall be concerned with the differentiability and the representation of one-parameter semi-groups of bounded linear operators on a Banach space and their applications to the initial value problem for differential equations.
(8218 views)