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Verma Modules and Preprojective Algebras

Published online by Cambridge University Press:  11 January 2016

Christof Geiss ,
Bernard Leclerc  and
Jan Schröer
Christof Geiss
Affiliation:
Instituto de Matemáticas, UNAM, Ciudad Universitaria, 04510 Mexico D.F., Mexico, christof@math.unam.mx
Bernard Leclerc
Affiliation:
LMNO, Université de Caen, 14032 Caen cedex, France, leclerc@math.unicaen.fr
Jan Schröer
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, England, jschroer@maths.leeds.ac.uk
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Abstract

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

Keywords

14M9916G2017B3517B67
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 182: Special Issue Celebrating the 60th Birthday of George Lusztig , June 2006 , pp. 241 - 258
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2006

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