1 citations · 5 across the 8 of their papers we have counts for
8 papers
Non-crossing partitions for exceptional hereditary curves
Barbara Baumeister, Igor Burban, Georges Neaime +1
We introduce a new class of reflection groups associated with the canonical bilinear lattices of Lenzing, which we call reflection groups of canonical type. The main result of this…
Isomorphism and non-isomorphism for interval groups of type D_n
Barbara Baumeister, Derek F. Holt, Georges Neaime +1
We consider presentations that were derived in \cite{BaumeisterNeaimeRees} for the interval groups associated with proper quasi-Coxeter elements of the Coxeter group . We u…
Interval groups related to finite Coxeter groups, Part II
Barbara Baumeister, Derek F. Holt, Georges Neaime +1
We provide a complete description of the presentations of the interval groups related to quasi-Coxeter elements in finite Coxeter groups. In the simply laced cases, we show that ea…
Interval groups related to finite Coxeter groups I
Barbara Baumeister, Georges Neaime, Sarah Rees
We derive presentations of the interval groups related to all quasi-Coxeter elements in the Coxeter group of type . Type is the only infinite family of finite Coxeter gr…
Interval Garside Structures Related to the Affine Artin Groups of Type
Georges Neaime
Garside theory emerged from the study of Artin groups and their generalizations. Finite-type Artin groups admit two types of interval Garside structures corresponding to their stan…
Interval Structures, Hecke Algebras, and Krammer's Representations for the Complex Braid Groups B(e,e,n)
Georges Neaime
We define geodesic normal forms for the general series of complex reflection groups G(de,e,n). This requires the elaboration of a combinatorial technique in order to determine mini…
Geodesic Normal Forms and Hecke Algebras for the Complex Reflection Groups G(de,e,n)
Georges Neaime
We establish geodesic normal forms for the general series of complex reflection groups G(de,e,n) by using the presentations of Corran-Picantin and Corran-Lee-Lee of G(e,e,n) and G(…
Interval Garside Structures for the Complex Braid Groups B(e,e,n)
Georges Neaime
We define geodesic normal forms for the general series of complex reflection groups G(e,e,n). This requires the elaboration of a combinatorial technique in order to explicitly dete…