The ring of differential operators on a quantized flag manifold

2024/07/21 by Tanisaki, Toshiyuki
#17B37 #20G42 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2407.15052

Abstract

We establish some properties of the ring of differential operators on the quantized flag manifold. Especially, we give an explicit description of its localization on an affine open subset in terms of the quantum Weyl algebra (q-analogue of boson).

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