Verma modules and preprojective algebras

Details Verma modules and preprojective algebras Verma modules and preprojective algebras

2004-11-05

arxiv.org/abs/math/0411113v2

Mathematics

Representation Theory

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

Scientific paper

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.

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