Titlebook: Braids and Self-Distributivity; Patrick Dehornoy Book 2000 Springer Basel AG 2000 Group theory.Gruppentheorie.Knot theory.algebra.algebrai

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0743-1643 d in low dimensional topology for more than twenty years, in particular in work by Joyce, Brieskorn, Kauffman and their students. Brieskorn mentions that the co978-3-0348-9568-2978-3-0348-8442-6Series ISSN 0743-1643 Series E-ISSN 2296-505X

教義

The Geometry Monoiding on terms, so that the LD-equivalence class of a term is its orbit under the action. The aim of this chapter is to study the monoid G.involved in this action, which we call the geometry monoid of.as it captures a number of geometrical relations involving left self-distributivity.

LITHE

CHANT

LD-Monoids the structure, and that adding an associative product is essentially trivial. However, the case of braid exponentiation is not so simple, and applying the above mentioned completion scheme requires considering the extended braids of Section I.4.

古代

Elementary Embeddingsnly consists in one more example but one that has played a crucial role in the subject, and still does, as some of the algebraic results it leads to have so far received no alternative proof, as we shall see in Chapter XIII.

極小量

ingestion

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解開

The Group of Left Self-Distributivitycise content of our slogan: “The geometry of left self-distributivity is an extension of the geometry of braids.” Many results about. and .originate in this connection. In particular, braid exponentiation and braid ordering come from an operation and a relation on . that somehow explain them and make their construction natural.