From Weyl groups to semisimple groups
In this (partly expository) paper we show, using ideas from the theory of total positivity, how a number of properties of a semisimple group over the complex numbers can be presented purely in terms of the Weyl group. We also describe some new connections of the theory of canonical bases with total positivity.
- Pub Date:
- December 2021
- Mathematics - Representation Theory
- 12 pages, some minor errors are corrected