most citedQuantized flag manifolds and non-restricted modules over quantum groups at roots of unity

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math.RT2026★ 1 cited

Quantized flag manifolds and non-restricted modules over quantum groups at roots of unity

Toshiyuki Tanisaki

We give a proof of Lusztig's conjectural multiplicity formula for non-restricted modules over the De Concini-Kac type quantized enveloping algebra at the -th root of unity, w…

math.RT2024

The ring of differential operators on a quantized flag manifold

Toshiyuki Tanisaki

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…