Enumeration of ad-nilpotent b-ideals for simple Lie algebras

Authors:
Christian Krattenthaler;Luigi Orsina;Paolo Papi
Affiliations:
Institut für Mathematik der Universität Wien, Strudlhofgasse 4, A-1090 Vienna, Austria;Dipartimento di Matematica, Istituto G. Castelnuovo, Università di Roma "La Sapienza," Piazzale Aldo Moro 5, 00185 Rome, Italy;Dipartimento di Matematica, Istituto G. Castelnuovo, Università di Roma "La Sapienza," Piazzale Aldo Moro 5, 00185 Rome, Italy
Venue:
Advances in Applied Mathematics - Special issue: Memory of Rodica Simon
Year:
2002

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Abstract

We provide explicit formulas for the number of ad-nilpotent ideals of a Borel subalgebra of a complex simple Lie algebra having fixed class of nilpotence.