On the Irreducibility of the Commuting Variety of the Symmetric Pair sop+2, sop�so2

H. Sabourin; R. W. T. Yu

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On the Irreducibility of the Commuting Variety of the Symmetric Pair so_p+2, so_p�so₂

H. Sabourin ; R. W. T. Yu

Journal of Lie theory, Tome 16 (2006) no. 1, pp. 57-65.

Voir la notice de l'article provenant de la source Heldermann Verlag

Résumé

We prove that the commuting variety of the family of symmetric pairs so_p+2, so_p�so₂, p ≥ 2, is irreducible.

Classification : 17B20, 14L30
Mots-clés : Symmetric pairs, Lie algebra, commuting variety

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     title = {On the {Irreducibility} of the {Commuting} {Variety} of the {Symmetric} {Pair} so\protect\textsubscript{p+2}, so\protect\textsubscript{p}<font {face="Symbol">�</font>so\protect\textsubscript{2}}},
     journal = {Journal of Lie theory},
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     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/JLT_2006_16_1_JLT_2006_16_1_a4/}
}

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H. Sabourin; R. W. T. Yu . On the Irreducibility of the Commuting Variety of the Symmetric Pair so_p+2, so_p�so₂. Journal of Lie theory, Tome 16 (2006) no. 1, pp. 57-65. http://geodesic.mathdoc.fr/item/JLT_2006_16_1_JLT_2006_16_1_a4/