Opérateurs invariants sur un immeuble affine de type

  • Ferdaous Kellil

    ISIMM, Université de Monastir, Tunisia
  • Guy Rousseau

    Université de Lorraine, Vandoeuvre lès Nancy, France

Abstract

We consider a building of type , different subsets of the set of vertices in and an automorphism group strongly transitive and type preserving on . We prove that the algebra of -invariant operators acting on the space of functions on is not commutative (contrarily to the classical results) and we give its generators. We give also the precise 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