4 papers
math.RT2026
Strata of Weyl groups
G. Lusztig
A Weyl group W is a union of strata (certain subsets which are unions of conjugacy classes) which are the nonempty fibres of a map from W to the set of irreducible representations…
math.QA2025
Canonical bases in Lie theory and total positivity
G. Lusztig
This represents a talk given at the International Conference for Basic Science, July 2025. We review the theory of canonical bases of quantum groups and its relation with the theor…
math.HO2025
History of the canonical basis and crystal basis
G. Lusztig
The history of the canonical basis and crystal basis of a quantized enveloping algebra and its representations is presented
math.RT2024
From classes in the Weyl group to strata
G. Lusztig
In a 2015 paper we have defined a map from the set of conjugacy classes in a Weyl group W to the set of irreducible representations of W (its image parametrizes the strata of a red…