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Representation Theory
Representation Theory
ISSN 1088-4165

 

On minimal representations definitions and properties


Authors: Wee Teck Gan and Gordan Savin
Journal: Represent. Theory 9 (2005), 46-93
MSC (2000): Primary 22E50, and, 22E55
Published electronically: January 13, 2005
MathSciNet review: 2123125
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Abstract: This paper gives a self-contained exposition of minimal representations. We introduce a notion of weakly minimal representations and prove a global rigidity result for them. We address issues of uniqueness and existence and prove many key properties of minimal representations needed for global applications.


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Additional Information

Wee Teck Gan
Affiliation: Department of Mathematics, University of California San Diego, 9500 Gilman Drive, LaJolla, California 92093-0112
Email: wgan@math.ucsd.edu

Gordan Savin
Affiliation: Department of Mathematics, University of Utah, 155 South 1400 East, Salt Lake City, Utah 84112-0090
Email: savin@math.utah.edu

DOI: http://dx.doi.org/10.1090/S1088-4165-05-00191-3
PII: S 1088-4165(05)00191-3
Received by editor(s): March 5, 2003
Received by editor(s) in revised form: April 1, 2004
Published electronically: January 13, 2005
Additional Notes: Wee Teck Gan was partially supported by NSF grant DMS-0202989
Gordan Savin was partially supported by NSF grant DMS-0138604
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.