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Representation Theory

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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
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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.

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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

Gail Letzter
Affiliation: Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061

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