The center of quantum symmetric pair coideal subalgebras

Kolb, Stefan; Letzter, Gail

doi:10.1090/S1088-4165-08-00332-4

The center of quantum symmetric pair coideal subalgebras
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by Stefan Kolb and Gail Letzter

Represent. Theory 12 (2008), 294-326

DOI: https://doi.org/10.1090/S1088-4165-08-00332-4

Published electronically: August 27, 2008

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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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