G. Lusztig

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20002026

most citedHecke algebras and involutions in Weyl groups

45 citations · 412 across the 130 of their papers we have counts for

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math.RT2026

Total positivity in coordinate algebras

G. Lusztig

We define the totally positive part of the coordinate algebra associated to a Cartan datum of simply laced type. We show its relation to the canonical basis of the corresponding pl…

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…