Christof Geiß

  1. Generic bases for cluster algebras and the Chamber Ansatz.

    Authors: Bernard Leclerc, Jan Schröer, Christof Geiß
    Subjects: Representation Theory
    Abstract

    Let Q be a finite quiver without oriented cycles, and let $\Lambda$ be the
    corresponding preprojective algebra. Let g be the Kac-Moody Lie algebra with
    Cartan datum given by Q, and let W be its Weyl group. With w in W is associated
    a unipotent cell N^w of the Kac-Moody group with Lie algebra g. In previous
    work we proved that the coordinate ring \C[N^w] of N^w is a cluster algebra in
    a natural way.

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