For cyclic quiver representations and certain products of SL2 representations, the q-character of the nilpotent cone is computed by a Kostant-type partition formula, and a new class of Hesselink-type representations is introduced with a conjecture.
Orbits and representations associated with symmetric spaces
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A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations
For cyclic quiver representations and certain products of SL2 representations, the q-character of the nilpotent cone is computed by a Kostant-type partition formula, and a new class of Hesselink-type representations is introduced with a conjecture.