The atomic Leibniz rule
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.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Algebra and Geometry
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Revista Matemática Iberoamericana
- Volume
- 42
- Issue
- 1
- Pages
- 187–228
- Publication date
- 20 January 2026