Remote Access Representation Theory
Green Open Access

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
Published electronically: 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
MR Author ID: 699246

Gail Letzter
Affiliation: Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061
MR Author ID: 228201

Received by editor(s): February 27, 2006
Received by editor(s) in revised form: June 18, 2008
Published electronically: 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