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Yaochen Wu

Publications and source records attributed to Yaochen Wu.

4 recordsLinked to original sources
arXiv2024

Maffei's action and symplectic Springer action for quiver varieties

We examine the relationship between the actions of two Weyl groups on the cohomology of a smooth quiver variety: the Maffei's action of the Weyl group associated to the quiver, and the symplectic Springer action of the Namikawa-Weyl group of the affine quiver variety. We show there is a natural map from the former group to the latter, which is an embedding in favorable situations, and this map intertwines their actions on the cohomology. This answers a question raised in arXiv:1904.10497.

math.RT↗
arXiv2023

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

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.

math.RT↗
arXiv2017

A Counterexample to the Vector Generalization of Costa's EPI, and Partial Resolution

We give a counterexample to the vector generalization of Costa's entropy power inequality (EPI) due to Liu, Liu, Poor and Shamai. In particular, the claimed inequality can fail if the matix-valued parameter in the convex combination does not commute with the covariance of the additive Gaussian noise. Conversely, the inequality holds if these two matrices commute.

cs.IT↗