177 citations · 1.4k across the 38 of their papers we have counts for
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Cluster algebras of finite type and positive symmetrizable matrices
Michael Barot, Christof Geiss, Andrei Zelevinsky
The paper is motivated by an analogy between cluster algebras and Kac-Moody algebras: both theories share the same classification of finite type objects by familiar Cartan-Killing…
Verma modules and preprojective algebras
Christof Geiss, Bernard Leclerc, Jan Schröer
We give a geometric construction of the Verma modules of a symmetric Kac-Moody Lie algebra in terms of constructible functions on the varieties of nilpotent finite-dimensional modu…
Semicanonical bases and preprojective algebras
Christof Geiss, Bernard Leclerc, Jan Schröer
We study the multiplicative properties of the dual of Lusztig's semicanonical basis.The elements of this basis are naturally indexed by theirreducible components of Lusztig's nilpo…