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

The center of quantum symmetric pair coideal subalgebras


Authors: Stefan Kolb and Gail Letzter
Journal: Represent. Theory 12 (2008), 294-326
MSC (2000): Primary 17B37
Posted: August 27, 2008
MathSciNet review: 2439008
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The theory of quantum symmetric pairs as developed by the second author is based on coideal subalgebras of the quantized universal enveloping algebra for a semisimple Lie algebra. This paper investigates the center of these coideal subalgebras, proving that the center is a polynomial ring. A basis of the center is given in terms of a submonoid of the dominant integral weights.


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


Similar Articles

Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2000): 17B37

Retrieve articles in all journals with MSC (2000): 17B37


Additional Information

Stefan Kolb
Affiliation: Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061
Address at time of publication: School of Mathematics and Maxwell Institute for Mathematical Sciences, The University of Edinburgh, JCMB, The King’s Buildings, Mayfield Road, Edinburgh, EH9 3JZ, United Kingdom
Email: stefan.kolb@ed.ac.uk

Gail Letzter
Affiliation: Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061
Email: gletzter@verizon.net

DOI: http://dx.doi.org/10.1090/S1088-4165-08-00332-4
PII: S 1088-4165(08)00332-4
Received by editor(s): February 27, 2006
Received by editor(s) in revised form: June 18, 2008
Posted: August 27, 2008
Additional Notes: The first author was supported by the German Research Foundation (DFG)
The second was supported by grants from the National Security Agency
Article copyright: © Copyright 2008 American Mathematical Society