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math.GR2016★ 8 cited
On cycle decompositions in Coxeter groups
Thomas Gobet
The aim of this note is to show that the cycle decomposition of elements of the symmetric group admits a quite natural formulation in the framework of dual Coxeter theory, yielding…
math.CO2016
Coxeter-Catalan combinatorics and Temperley-Lieb algebras
Thomas Gobet
We introduce bijections between generalized type noncrossing partitions (that is, associated to arbitrary standard Coxeter elements) and fully commutative elements of the sam…
math.RT2016
Twisted filtrations of Soergel bimodules and linear Rouquier complexes
Thomas Gobet
We consider twisted standard filtrations of Soergel bimodules associated to arbitrary Coxeter groups and show that the graded multiplicities in these filtrations can be interpreted…