## Borel subgroups adapted to nilpotent elements of standard Levi type

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- by Lucas Fresse
- Represent. Theory
**18**(2014), 341-360 - DOI: https://doi.org/10.1090/S1088-4165-2014-00458-8
- Published electronically: October 27, 2014
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Previous version: Original version posted October 27, 2014

Corrected version: Current version corrects changes to the support information.

## Abstract:

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.## References

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## Bibliographic 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: lucas.fresse@univ-lorraine.fr
- 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: https://doi.org/10.1090/S1088-4165-2014-00458-8
- MathSciNet review: 3272063