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arXiv · 2104.05625

Defining relations of quantum symmetric pair coideal subalgebras

Stefan Kolb·Milen Yakimov
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Abstract

We explicitly determine the defining relations of all quantum symmetric pair coideal subalgebras of quantized enveloping algebras of Kac-Moody type. Our methods are based on star products on noncommutative $\mathbb{N}$-graded algebras. The resulting defining relations are expressed in terms of continuous q-Hermite polynomials and a new family of deformed Chebyshev polynomials.

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Stefan Kolb, Milen Yakimov. 2021-04-12. Defining relations of quantum symmetric pair coideal subalgebras. https://doi.org/10.1017/fms.2021.61

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