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Deformations and derived equivalences
Author(s):
Frauke
M.
Bleher
Journal:
Proc. Amer. Math. Soc.
134
(2006),
2503-2510.
MSC (2000):
Primary 20C05;
Secondary 18E30
Posted:
February 17, 2006
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Abstract:
Suppose  and  are block algebras of finite groups over a complete local commutative Noetherian ring whose residue field is a field  of positive characteristic. We prove that a split-endomorphism two-sided tilting complex (as introduced by Rickard) for the derived categories of bounded complexes of finitely generated modules over  , resp.  , preserves the versal deformation rings of bounded complexes of finitely generated modules over  , resp.  .
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Additional Information:
Frauke
M.
Bleher
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, Iowa 52242-1419
Email:
fbleher@math.uiowa.edu
DOI:
10.1090/S0002-9939-06-08269-4
PII:
S 0002-9939(06)08269-4
Keywords:
Universal deformations,
versal deformations,
derived categories,
derived equivalences,
abelian defect group conjecture,
tilting complexes
Received by editor(s):
May 7, 2004
Received by editor(s) in revised form:
March 27, 2005
Posted:
February 17, 2006
Additional Notes:
The author was supported in part by NSA Young Investigator Grant MDA904-01-1-0050 and NSF Grant DMS01-39737.
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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