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math.RT2010★ 50 cited
Hypertoric category O
Tom Braden, Anthony Licata, Nicholas Proudfoot +1
We study the representation theory of the invariant subalgebra of the Weyl algebra under a torus action, which we call a "hypertoric enveloping algebra." We define an analogue of B…
math.QA2010★ 63 cited
Heisenberg categorification and Hilbert schemes
Sabin Cautis, Anthony Licata
Given a finite subgroup G of SL(2,C) we define an additive 2-category H^G whose Grothendieck group is isomorphic to an integral form of the Heisenberg algebra. We construct an acti…