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The center of quantum symmetric pair coideal subalgebras

S. Kolb·G. Letzter
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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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S. Kolb, G. Letzter. 2006-02-27. The center of quantum symmetric pair coideal subalgebras. https://arxiv.org/abs/math/0602638

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