English

The center of quantum symmetric pair coideal subalgebras

Quantum Algebra 2007-05-23 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.math/0602638,
  title  = {The center of quantum symmetric pair coideal subalgebras},
  author = {S. Kolb and G. Letzter},
  journal= {arXiv preprint arXiv:math/0602638},
  year   = {2007}
}

Comments

LaTeX2e, 45 pages