The center of quantum symmetric pair coideal subalgebras

Details The center of quantum symmetric pair coideal subalgebras The center of quantum symmetric pair coideal subalgebras

2006-02-27

arxiv.org/abs/math/0602638v1

Mathematics

Quantum Algebra

LaTeX2e, 45 pages

Scientific paper

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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