منابع مشابه
Multi-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 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 کاملNew R - matrices from Representations of Braid - Monoid Algebras based on Superalgebras
In this paper we discuss representations of the Birman-Wenzl-Murakami algebra as well as of its dilute extension containing several free parameters. These representations are based on superalgebras and their baxterizations permit us to derive novel trigonometric solutions of the graded Yang-Baxter equation. In this way we obtain the multiparametric R-matrices associated to the U q [sl(r|2m) (2)...
متن کاملMonoid Hecke Algebras
This paper concerns the monoid Hecke algebras H introduced by Louis Solomon. We determine explicitly the unities of the orbit algebras associated with the two-sided action of the Weyl group W . We use this to: 1. find a description of the irreducible representations of H, 2. find an explicit isomorphism between H and the monoid algebra of the Renner monoid R, 3. extend the Kazhdan-Lusztig invol...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1993
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/26/24/018