Harish-Chandra bimodules over quantized flower quiver varieties with minimal support

Abstract

We classify Harish-Chandra bimodules over the quantized flower quiver varieties with minimal support. We show that if the dimension vector is $n$, then there are $n!$ minimally supported simple Harish-Chandra bimodules for integral quantization parameters that are large enough or small enough, and there are none for other quantization parameters. The main tool used for this classification is an enhanced version of restriction functor.