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arXiv · 2405.14175

Subdivision of KLRW Algebras in Affine Type A

Tao Qin
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Abstract

In this paper, we consider the subdivision map between two KLRW algebras of type $A^{(1)}_e$ and $A^{(1)}_{e+1}$. We show that the image of an idempotent indexed by a partition under this map is still an idempotent indexed by a partition, and give the form of this new partition. Moreover, we give an equality of some graded decomposition numbers.

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Tao Qin. 2024-05-23. Subdivision of KLRW Algebras in Affine Type A. https://arxiv.org/abs/2405.14175

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