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math.QA2015
Commutation relations for quantum root vectors of cominuscole parabolics
Marco Matassa
We prove a result for the commutator of quantum root vectors corresponding to cominuscole parabolics. Specifically we show that, given two quantum root vectors, belonging respectiv…
math.QA2015
On the Dolbeault-Dirac operators on quantum projective spaces
Marco Matassa
We consider Dolbeault-Dirac operators on quantum projective spaces, following Krahmer and Tucker-Simmons. The main result is an explicit formula for their squares, up to terms in t…