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IJAC
2008
158views more  IJAC 2008»
13 years 4 months ago
The Braid rook Monoid
species and combinatorial Hopf algebras on the one hand, and quantum groups and the classification theory of abstract Hopf algebras on the other. This is part of joint work with Sw...
Eddy Godelle
DM
2008
70views more  DM 2008»
13 years 4 months ago
A special class of tensor categories initiated by inverse braid monoids
In this paper, we introduce the concept of a wide tensor category which is a special class of a tensor category initiated by the inverse braid monoids recently investigated by Eas...
Fang Li, Haijun Cao, Guojun Wang
IJAC
2006
93views more  IJAC 2006»
13 years 4 months ago
On Word Reversing in Braid Groups
It has been conjectured that in a braid group, or more generally in a Garside group, applying any sequence of monotone equivalences and word reversings can increase the length of a...
Patrick Dehornoy, Bert Wiest
IJAC
2000
104views more  IJAC 2000»
13 years 4 months ago
Construction of Self-Distributive Operations and Charged Braids
Starting from a certain monoid that describes the geometry of the left self-distributivity identity, we construct an explicit realization of the free left self-distributive system ...
Patrick Dehornoy