13 citations · 24 across the 9 of their papers we have counts for
12 papers
Interval Garside groups arising from involutions in finite reflection groups
Eirini Chavli, Thomas Gobet
We identify and study the interval Garside groups arising from the restriction of the absolute order on a Coxeter group to a lattice , where is an involution. Those in…
The BMM Symmetrising Trace Conjecture for Families of Complex Reflection Groups of Rank Two
Eirini Chavli, Götz Pfeiffer
The exceptional complex reflection groups of rank 2 are partitioned into three families. We construct explicit matrix models for the Hecke algebras associated to the maximal groups…
The center of the walled Brauer algebra
Eirini Chavli, Maud De Visscher, Alison Parker +2
We show that the centre of the walled Brauer algebra over the complex field , for any parameter , is generated by the supersymmetric polyn…
Homological algebra of Nakayama algebras and 321-avoiding permutations
Eirini Chavli, Rene Marczinzik
Linear Nakayama algebras over a field are in natural bijection to Dyck paths and Dyck paths are in natural bijection to 321-avoiding bijections via the Billey-Jockusch-Stanley…
Centers of Hecke Algebras of Complex Reflection Groups
Eirini Chavli, Götz Pfeiffer
We provide a dual version of the Geck--Rouquier Theorem on the center of an Iwahori--Hecke algebra, which also covers the complex case. For the eight complex reflection groups of r…
The freeness and trace conjectures for parabolic Hecke subalgebras
Eirini Chavli, Maria Chlouveraki
The two most fundamental conjectures on the structure of the generic Hecke algebra associated with a complex reflection group state that is a…
The BMM symmetrising trace conjecture for the exceptional 2-reflection groups of rank 2
Christina Boura, Eirini Chavli, Maria Chlouveraki
We prove the symmetrising trace conjecture of Broué, Malle and Michel for the generic Hecke algebra associated to the exceptional irreducible complex reflection group . Our…
The BMM symmetrising trace conjecture for groups
Christina Boura, Eirini Chavli, Maria Chlouveraki +1
We prove the BMM symmetrising trace conjecture for the exceptional complex reflection groups using a combination of algorithms programmed in different…
Decomposition matrices for the generic Hecke algebras on 3 strands in characteristic 0
Eirini Chavli
We classify all the decomposition matrices of the generic Hecke algebras on 3 strands in characteristic 0. These are the generic Hecke algebras associated to the exceptional comple…
The Broué-Malle-Rouquier conjecture for the exceptional groups of rank 2
Eirini Chavli
Between 1994 and 1998, the work of M. Broué, G. Malle, and R. Rouquier generalized in a natural way the definition of the Hecke algebra associated to a finite Coxeter group, for th…
The BMR freeness conjecture for the tetrahedral and octahedral families
Eirini Chavli
We prove the validity of the freeness conjecture of Broué, Malle and Rouquier for the generic Hecke algebras associated to the exceptional complex reflection groups of rank 2 belon…
Universal deformations of the finite quotients of the braid group on 3 strands
Eirini Chavli
We prove that the quotients of the group algebra of the braid group on 3 strands by a generic quartic and quintic relation respectively, have finite rank. This is a special case of…