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Published in 2021 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-021-01422-0
Abstract: Assume that $\mathbb F$ is an algebraically closed field and let $q$ denote a nonzero scalar in $\mathbb F$ that is not a root of unity. The universal Askey--Wilson algebra $\triangle_q$ is a unital associative…
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Keywords:
algebra;
mathfrak;
universal askey;
askey wilson ... See more keywords
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Published in 2019 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2019.114632
Abstract: Abstract A q-analogue of the Higgs algebra, which describes the symmetry properties of the harmonic oscillator on the 2-sphere, is obtained as the commutant of the o q 1 / 2 ( 2 ) ⊕…
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Keywords:
wilson;
algebra;
wilson algebras;
higgs askey ... See more keywords
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Published in 2019 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2019.114824
Abstract: Abstract An operator of Heun-Askey-Wilson type is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and the generic case, the corresponding eigenstates are constructed in…
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Keywords:
wilson;
bethe ansatz;
heun askey;
askey wilson ... See more keywords
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Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/abd783
Abstract: The original Askey–Wilson algebra introduced by Zhedanov encodes the bispectrality properties of the eponym polynomials. The name Askey–Wilson algebra is currently used to refer to a variety of related structures that appear in a large…
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Keywords:
algebra avatars;
algebra;
wilson algebra;
askey wilson ... See more keywords