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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

Pierluigi M÷seneder Frajria
Polo regionale di Como, Politecnico di Milano, Via Valleggio 11, 22100 Como, Italy

Paolo Papi
Dip. di Matematica, Sapienza UniversitÓ, P.le A. Moro 2, 00185 Roma, Italy

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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