The atomic Leibniz rule
Ben Elias
University of Oregon, Eugene, USAHankyung Ko
Uppsala University, SwedenNicolás Libedinsky
Universidad de Chile, Santiago, ChileLeonardo Patimo
Università di Pisa, Italy
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.
Cite this article
Ben Elias, Hankyung Ko, Nicolás Libedinsky, Leonardo Patimo, The atomic Leibniz rule. Rev. Mat. Iberoam. 42 (2026), no. 1, pp. 187–228
DOI 10.4171/RMI/1600