83 citations
- École Normale Supérieure - PSLFR20 papers
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4 papers · 1 filter
Polar decomposition for p-adic symmetric spaces
Yves Benoist, Hee Oh
Let G be the group of k-points of a connected reductive k-group and H a symmetric subgroup associated to an involution s of G. We prove a polar decomposition G=KAH for the symmetri…
Counting overlattices in automorphism groups of trees
Seonhee Lim
We give an upper bound for the number of ``overlattices'' in the automorphism group of a tree, containing a fixed lattice with index n. For an example of a lattice in the automorph…
Non-crossing partitions of type (e,e,r)
David Bessis, Ruth Corran
We investigate a new lattice of generalised non-crossing partitions, constructed using the geometry of the complex reflection group . For the particular case (resp.…
A dual braid monoid for the free group
David Bessis
We construct a quasi-Garside monoid structure for the free group. This monoid should be thought of as a dual braid monoid for the free group, generalising the constructions by Birm…