Calogero-Moser cells of dihedral groups at equal parameters
C\'edric Bonnaf\'e, J\'er\^ome Germoni
TL;DR
This paper demonstrates that for dihedral groups with equal parameters, Calogero-Moser cells are identical to Kazhdan-Lusztig cells, establishing a significant connection between these two concepts in representation theory.
Contribution
The paper proves the equivalence of Calogero-Moser and Kazhdan-Lusztig cells specifically for dihedral groups with equal parameters, a previously unresolved case.
Findings
Calogero-Moser cells coincide with Kazhdan-Lusztig cells in dihedral groups
The result holds in the equal parameter case
Establishes a link between two important cell theories in representation theory
Abstract
We prove that Calogero-Moser cells coincide with Kazhdan-Lusztig cells for dihedral groups, in the equal parameter case.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology