G. Lusztig

collaborators

3 papers

math.RT2026

Symplectic F_2-vector spaces and Dyck words

G. Lusztig

Let $V$ be an $F_{2}$ -vector space with a given nondegenerate symplectic form and a circular basis. We define a partition of $V$ into subsets each of which has cardinal equal to a pr…

math.RT2026

Comments on my papers

G. Lusztig

This document contains a description of several of my papers, including remarks on history and connection with subsequent work. It also contains some new results and conjectures.

math.RT2025

From Weyl groups to semisimple groups

G. Lusztig

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 present…