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Abstract 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… Click to show full abstract
Abstract 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.
Keywords:
defining relations;
pair coideal;
quantum symmetric;
relations quantum;
symmetric pair;
coideal subalgebras
Journal Title: Forum of Mathematics, Sigma
Year Published: 2021
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Journal Title: Forum of Mathematics, Sigma
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!