Geodesic
Defining relations of quantum symmetric pair coideal subalgebras
Forum of Mathematics, Sigma, Tome 9 (2021)

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We explicitly determine the defining relations of all quantum symmetric pair coideal subalgebras of quantised 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. 
@article{10_1017_fms_2021_61,
     author = {Stefan Kolb and Milen Yakimov},
     title = {Defining relations of quantum symmetric pair coideal subalgebras},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {9},
     year = {2021},
     doi = {10.1017/fms.2021.61},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2021.61/}
}
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Stefan Kolb; Milen Yakimov. Defining relations of quantum symmetric pair coideal subalgebras. Forum of Mathematics, Sigma, Tome 9 (2021). doi: 10.1017/fms.2021.61

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