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math.RT2024
A descent basis for the Garsia-Procesi module
Erik Carlsson, Raymond Chou
We assign to each Young diagram a subset of the collection of Garsia-Stanton descent monomials, and prove that it determines a basis of the Garsia-Procesi mo…
math.RT2017
The algebra and parabolic flag Hilbert schemes
Erik Carlsson, Eugene Gorsky, Anton Mellit
The earlier work of the first and the third named authors introduced the algebra and its polynomial representation. In this paper we construct an action of this…