منابع مشابه
The Dual Braid Monoid
We describe a new monoid structure for braid groups associated with finite Coxeter systems. This monoid shares with the classical positive braid monoid its crucial algebraic properties: the monoid satisfies Öre’s conditions and embeds in its group of fractions, it admits a nice normal form, it can be used to construct braid group actions on categories... It also provides a new presentation for ...
متن کاملOn the Singular Braid Monoid
Garside’s results and the existence of the greedy normal form for braids are shown to be true for the singular braid monoid. An analog of the presentation of J. S. Birman, K. H. Ko, and S. J. Lee for the classical braid group is also obtained for this monoid.
متن کاملMulti-Colour Braid-Monoid Algebras
We define multi-colour generalizations of braid-monoid algebras and present explicit matrix representations which are related to two-dimensional exactly solvable lattice models of statistical mechanics. In particular, we show that the two-colour braid-monoid algebra describes the Yang-Baxter algebra of the critical dilute A–D–E models which were recently introduced by Warnaar, Nienhuis, and Sea...
متن کاملThe Algebraic Bethe Ansatz for Rational Braid-monoid Lattice Models
In this paper we study isotropic integrable systems based on the braid-monoid algebra. These systems constitute a large family of rational multistate vertex models and are realized in terms of the B n , C n and D n Lie algebra and by the superalgebra Osp(nj2m). We present a uniied formulation of the quantum inverse scattering method for many of these lattice models. The appropriate fundamental ...
متن کاملA Dual Braid Monoid for the Free Group
We construct a quasi-Garside monoid structure for the free group. This monoid should be thought of as a dual braid monoid for the free group, generalising the constructions by Birman-Ko-Lee and by the author of new Garside monoids for Artin groups of spherical type. Conjecturally, an analog construction should be available for arbitrary Artin groups and for braid groups of well-generated comple...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2006
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091504001452