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Two relations that generalize the \(q\)-Serre relations and the Dolan-Grady relations. (English) Zbl 1061.16033
Kirillov, Anatol N. (ed.) et al., Physics and combinatorics. Proceedings of the international workshop, Nagoya, Japan, August 23–27, 1999. Singapore: World Scientific (ISBN 981-02-4578-5). 377-398 (2001).

MSC:
16S15 Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting)
16G30 Representations of orders, lattices, algebras over commutative rings
33D45 Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.)
05E35 Orthogonal polynomials (combinatorics) (MSC2000)
05E30 Association schemes, strongly regular graphs
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
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