Opérateurs invariants sur un immeuble affine de type
Ferdaous Kellil
ISIMM, Université de Monastir, TunisiaGuy Rousseau
Université de Lorraine, Vandoeuvre lès Nancy, France

Abstract
We consider a building of type \( \widetilde{B}_n~(n\geq3) \), different subsets of the set ofvertices in and an automorphism group strongly transitive and type preserving on . We prove thatthe algebra of -invariant operators acting on the space offunctions on is not commutative (contrarily to theclassical results) and we give its generators. We give also theprecise structure of some commutative subalgebras.
Cite this article
Ferdaous Kellil, Guy Rousseau, Opérateurs invariants sur un immeuble affine de type . Rend. Sem. Mat. Univ. Padova 127 (2012), pp. 75–98
DOI 10.4171/RSMUP/127-5