Journal of Lie Theory 16 (2006), No. 1, 057--065
Copyright Heldermann Verlag 2006
On the Irreducibility of the Commuting Variety of the Symmetric Pair sop+2, sop´so2
Hervé Sabourin
UMR 6086 CNRS, Dép. de Mathématiques, Université de Poitiers, Téléport 2 - BP 30179, 86962 Futuroscope Chasseneuil, France
sabourin@math.univ-poitiers.fr
Rupert W. T. Yu
UMR 6086 CNRS, Dép. de Mathématiques, Université de Poitiers, Téléport 2 - BP 30179, 86962 Futuroscope Chasseneuil, France
yuyu@math.univ-poitiers.fr
We prove that the commuting variety of the family of symmetric pairs sop+2, sop´so2, p ≥ 2, is irreducible.
Keywords: Symmetric pairs, Lie algebra, commuting variety.
MSC: 17B20, 14L30
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