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arXiv · 2407.13128

The atomic Leibniz rule

Ben Elias·Hankyung Ko·Nicolas Libedinsky·Leonardo Patimo
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Abstract

The Demazure operator associated to a simple reflection satisfies the twisted Leibniz rule. In this paper we introduce a generalization of the twisted Leibniz rule for the Demazure operator associated to any atomic double coset. We prove that this atomic Leibniz rule is equivalent to a polynomial forcing property for singular Soergel bimodules.

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Ben Elias, Hankyung Ko, Nicolas Libedinsky, Leonardo Patimo. 2024-07-18. The atomic Leibniz rule. https://arxiv.org/abs/2407.13128

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