Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Zuckerman functors between equivariant derived categories


Author: Pavle Pandzic
Journal: Trans. Amer. Math. Soc. 359 (2007), 2191-2220
MSC (2000): Primary 22E46
Published electronically: December 19, 2006
MathSciNet review: 2276617
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: 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. We also show how to recover the usual Zuckerman functors from the equivariant ones by passing to cohomology.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 22E46

Retrieve articles in all journals with MSC (2000): 22E46


Additional Information

Pavle Pandzic
Affiliation: Department of Mathematics, University of Zagreb, PP 335, 10002 Zagreb, Croatia
Email: pandzic@math.hr

DOI: http://dx.doi.org/10.1090/S0002-9947-06-04013-X
PII: S 0002-9947(06)04013-X
Received by editor(s): January 15, 2004
Received by editor(s) in revised form: March 9, 2005
Published electronically: December 19, 2006
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.