3 citations · 4 across the 3 of their papers we have counts for
4 papers
Casimir operators, abelian subspaces and u-cohomology
Pierluigi Moseneder Frajria, Paolo Papi
This survey paper is an exposition of old and recent results of Kostant and al. on the relationships between the exterior algebra of a simple Lie algebra and the action of the Casi…
Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting
Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi
We extend classical results of Kostant and al. on multiplets of representations of finite-dimensional Lie algebras and on the cubic Dirac operator to the setting of affine Lie alge…
ad-nilpotent ideals of a Borel subalgebra III
P. Cellini, P. Papi
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…
Enumeration of ad-nilpotent -ideals for simple Lie algebras
Christian Krattenthaler, Luigi Orsina, Paolo Papi
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.