Verma modules and preprojective algebras

Abstract

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 modules of the corresponding preprojective algebra.

Minor changes. Final version. To appear in Nagoya Math. Journal

References in corpus (1)

• Semicanonical bases and preprojective algebras

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