Abelian ideals of Borel subalgebras and affine Weyl groups |
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| Authors: | Paola Cellini |
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| Institution: | a Dipartimento di Scienze, Università “G. D'Annunzio,” Viale Pindaro 42, 65127 Pescara, Italy
b Dipartimento di Matematica Istituto G. Castelnuovo, Università di Roma “La Sapienza”, Piazzale Aldo Moro 5, 00185 Rome, Italy |
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| Abstract: | This paper is devoted to a detailed study of certain remarkable posets which form a natural partition of all abelian ideals of a Borel subalgebra. Our main result is a nice uniform formula for the dimension of maximal ideals in these posets. We also obtain results on ad-nilpotent ideals which complete the analysis started in (J. Algebra 225 (2000) 130, 258 (2002) 112). |
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| Keywords: | Primary: 17B20 Secondary: 20F55 |
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