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, Università di Chieti-Pescara, Viale Pindaro 42, 65127 Pescara, Italy
cellini@sci.unich.it
Pierluigi Möseneder Frajria
Polo regionale di Como, Politecnico di Milano, Via Valleggio 11, 22100 Como, Italy
pierluigi.moseneder@polimi.it
Paolo Papi
Dip. di Matematica, Sapienza Università, 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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