Parabolic induction and restriction functors for rational Cherednik algebras
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Bezrukavnikov_Parabolic Induction.pdf
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338.8 KB
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2308de77b328f97f015ac02a7d21d19e
Author(s)
Bezrukavnikov, Roman
Etingof, Pavel I.
Date Issued
May 2009
Journal
Selecta Mathematica
Publisher
Springer-Verlag
Citation
Bezrukavnikov, Roman, and Pavel Etingof. “Parabolic induction and restriction functors for rational Cherednik algebras.” Selecta Mathematica 14.3-4 (2009): 397-425.
Version
Author's final manuscript
Abstract
Parabolic induction and restriction functors play an important role in the
representation theory of finite and affine Hecke algebras. This makes it desirable
to generalize them to the setting of double affine Hecke algebras, or
Cherednik algebras. However, a naive attempt to do so fails: the definition
of parabolic induction and restriction functors for finite and affine Hecke
algebras uses the fact that the Hecke algebra attached to a parabolic subgroup
can be embedded into the Hecke algebra attached to the whole group,
which is not the case in the double affine setting.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1007/s00029-009-0507-z
