Nagoya Mathematical Journal

Verma modules and preprojective algebras

Christof Geiss, Bernard Leclerc, and Jan Schröer

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We give a geometric construction of the Verma modules of a symmetric Kac-Moody Lie algebra $\mathfrak{g}$ in terms of constructible functions on the varieties of nilpotent finite-dimensional modules of the corresponding preprojective algebra $\Lambda$.

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Nagoya Math. J., Volume 182 (2006), 241-258.

First available in Project Euclid: 20 June 2006

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Primary: 14M99: None of the above, but in this section 16G20: Representations of quivers and partially ordered sets 17B35: Universal enveloping (super)algebras [See also 16S30] 17B67: Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras


Geiss, Christof; Leclerc, Bernard; Schröer, Jan. Verma modules and preprojective algebras. Nagoya Math. J. 182 (2006), 241--258.

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