G. Lusztig
Published 2021-12-07, updated 2022-01-20Version 2
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.
Comments: 12 pages, some minor errors are corrected
From families in Weyl groups to Springer representations
On properties of the Casselman-Jacquet functor
From conjugacy classes in the Weyl group to unipotent classes
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