منابع مشابه
On 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 کاملThe 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 کاملPartialization of Categories and Inverse Braid-permutation Monoid
We show how the categorial approach to inverse monoids can be described as a certain endofunctor (which we call the partialization functor) of some category. In this paper we show that this functor can be used to obtain several recently defined inverse monoids, and use it to define a new object, which we call the inverse braid-permutation monoid. A presentation for this monoid is obtained. Fina...
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 ...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2009
ISSN: 0166-8641
DOI: 10.1016/j.topol.2008.10.007