Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Representation Theory
Representation Theory
ISSN 1088-4165

 

Certain components of Springer fibers and associated cycles for discrete series representations of $ SU(p,q)$


Authors: L. Barchini and R. Zierau; with an appendix by Peter E. Trapa
Journal: Represent. Theory 12 (2008), 403-434
MSC (2000): Primary 20G20, 22E46
Published electronically: October 30, 2008
MathSciNet review: 2461236
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: An explicit geometric description of certain components of Springer fibers for $ SL(n,C)$ s given in this article. These components are associated to closed $ S(GL(p)\times GL(q))$-orbits in the flag variety. The geometric results are used to compute the associated cycles of the discrete series representations of $ SU(p,q)$. A discussion of an alternative, and more general, computation of associated cycles is given in the appendix.


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


Similar Articles

Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2000): 20G20, 22E46

Retrieve articles in all journals with MSC (2000): 20G20, 22E46


Additional Information

L. Barchini
Affiliation: Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078
Email: leticia@math.okstate.edu

R. Zierau
Affiliation: Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078
Email: zierau@math.okstate.edu

Peter E. Trapa
Affiliation: Department of Mathematics, University of Utah, Salt Lake City, Utah 84112
Email: ptrapa@math.utah.edu

DOI: http://dx.doi.org/10.1090/S1088-4165-08-00311-7
PII: S 1088-4165(08)00311-7
Received by editor(s): April 5, 2008
Received by editor(s) in revised form: February 2, 2008
Published electronically: October 30, 2008
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.