Dirac operators for algebraic families
Abstract
We introduce algebraic families of Dirac operators for the deformation family (and other related families) associated with a real reductive Lie group that interpolates the reductive group and the corresponding Cartan motion group. We prove Vogan's conjecture in this setting, relating the infinitesimal character of an algebraic family of Harish-Chandra modules and its Dirac cohomology.
Fields of Study & Subjects
Advanced Algebra and Geometry
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Advances in Mathematics
- Volume
- 496
- Pages
- 110973–110973
- Publication date
- 21 April 2026
- Language
- EN