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Subdivision of KLRW Algebras in Affine Type A

Published 23 May 2024 in math.RT and math.QA | (2405.14175v1)

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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Authors (1)

  1. Tao Qin 

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