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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras
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by Christof Geiß, Bernard Leclerc and Jan Schröer PDF
Represent. Theory 20 (2016), 375-413 Request permission

Abstract:

We realize the enveloping algebra of the positive part of a semisimple complex Lie algebra as a convolution algebra of constructible functions on module varieties of some Iwanaga-Gorenstein algebras of dimension 1.
References
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Additional Information
  • Christof Geiß
  • Affiliation: Instituto de Matemáticas, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510 México D.F., México
  • MR Author ID: 326818
  • Email: christof@math.unam.mx
  • Bernard Leclerc
  • Affiliation: Laboratoire LMNO, Université Caen-Normandie, F-14032 Caen, France – and – CNRS, UMR 6139, F-14032 Caen, France
  • MR Author ID: 327337
  • Email: bernard.leclerc@unicaen.fr
  • Jan Schröer
  • Affiliation: Mathematisches Institut, Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany
  • MR Author ID: 633566
  • Email: schroer@math.uni-bonn.de
  • Received by editor(s): March 8, 2016
  • Received by editor(s) in revised form: July 21, 2016
  • Published electronically: October 7, 2016
  • Additional Notes: The first author acknowledges financial support from UNAM-PAPIIT grant IN108114 and Conacyt Grant 239255
    The third author thanks the SFB/Transregio TR 45 for financial support
  • © Copyright 2016 American Mathematical Society
  • Journal: Represent. Theory 20 (2016), 375-413
  • MSC (2010): Primary 16G10, 16G20, 17B35; Secondary 16G70
  • DOI: https://doi.org/10.1090/ert/487
  • MathSciNet review: 3555157