Equivariant Analogues of Zuckerman Functors

@inproceedings{PANDI2004EquivariantAO,
  title={Equivariant Analogues of Zuckerman Functors},
  author={PAVLE PANDŽI{\'C}},
  year={2004}
}
  • PAVLE PANDŽIĆ
  • Published 2004
We review the Beilinson-Ginzburg construction of equivariant derived categories of Harish-Chandra modules, and introduce analogues of Zuckerman functors in this setting. They are given by an explicit formula, which works equally well in the case of modules with a given infinitesimal character. This is important if one wants to apply Beilinson-Bernstein localization, as is explained in [MP1]. We also show how to recover the usual Zuckerman functors from the equivariant ones by passing to… CONTINUE READING

From This Paper

Topics from this paper.

Citations

Publications citing this paper.
Showing 1-3 of 3 extracted citations

A Simple Proof of Bernstein-lunts Equivalence

Pavle Pandžić
2004
View 4 Excerpts
Highly Influenced

ZUCKERMAN FUNCTORS BETWEEN EQUIVARIANT DERIVED CATEGORIES

PAVLE PANDŽIĆ
2007
View 3 Excerpts
Highly Influenced

References

Publications referenced by this paper.
Showing 1-3 of 3 references

Notes on homological algebra and representations of Lie algebras

N. R. Wallach
Duke Math . J . • 1987

Continuous cohomology , discrete subgroups , and representations of reductive groups

N. Wallach
Annals of Math . Studies • 1980