Center of Kostant algebra
pith:VXYBZ2FIopen to challenge →
classification
math.RT
keywords
algebrakostantcenterbernstein-gelfandc-savincommutingcomputeconjectured
read the original abstract
In this note, following Mui\'c-Savin, we compute the center of Kostant algebra, introduced by Kostant in 1975 as strongly commuting algebra. We explain how it encodes information on tensor products between a finite-dimensional and a Verma module, and about the structure of principal series representations via the work of Bernstein-Gelfand. We also discuss conjectured relationships to Langlands duality.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.