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Journal of Lie Theory 24 (2014), No. 1, 199--224
Copyright Heldermann Verlag 2014



Symmetries of the Poset of Abelian Ideals in a Borel Subalgebra

Paola Cellini
Dip. di Ingegneria e Geologia, UniversitÓ di Chieti-Pescara, Viale Pindaro 42, 65127 Pescara, Italy
cellini@sci.unich.it

Pierluigi M÷seneder Frajria
Polo regionale di Como, Politecnico di Milano, Via Valleggio 11, 22100 Como, Italy
pierluigi.moseneder@polimi.it

Paolo Papi
Dip. di Matematica, Sapienza UniversitÓ, P.le A. Moro 2, 00185 Roma, Italy
papi@mat.uniroma1.it



Elaborating on a paper of Suter, we provide a detailed description of the automorphism group of the poset of abelian ideals in a Borel subalgebra of a finite dimensional complex simple Lie algebra.

Keywords: Abelian ideals of Borel subalgebras, automorphisms, Hasse graphs.

MSC: 17B20; 17B40

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