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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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Borel subgroups adapted to nilpotent elements of standard Levi type
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by Lucas Fresse PDF
Represent. Theory 18 (2014), 341-360 Request permission


Let a reductive algebraic group over an algebraically closed field of good characteristic be given. Attached to a nilpotent element of its Lie algebra, we consider a family of algebraic varieties, which incorporates classical objects such as Springer fiber, Spaltenstein varieties, and Hessenberg varieties. When the nilpotent element is of standard Levi type, we show that the varieties of this family admit affine pavings that can be obtained by intersecting with the Schubert cells corresponding to a suitable Borel subgroup.
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Additional Information
  • Lucas Fresse
  • Affiliation: Université de Lorraine, CNRS, Institut Élie Cartan de Lorraine, UMR 7502, Vandoeuvre-lès-Nancy, F-54506, France
  • MR Author ID: 875745
  • Email:
  • Received by editor(s): February 10, 2014
  • Received by editor(s) in revised form: July 15, 2014
  • Published electronically: October 27, 2014
  • Additional Notes: This work was supported in part by the ANR project NilpOrbRT (ANR-12-PDOC-0031)
  • © Copyright 2014 American Mathematical Society
  • Journal: Represent. Theory 18 (2014), 341-360
  • MSC (2010): Primary 17B08, 20G07, 14M15
  • DOI:
  • MathSciNet review: 3272063