Parabolic induction and restriction functors for rational Cherednik algebras
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 defi...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Springer-Verlag
2012
|
| Online Access: | http://hdl.handle.net/1721.1/74002 https://orcid.org/0000-0001-5902-8989 https://orcid.org/0000-0002-0710-1416 |
| Summary: | 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. |
|---|