Mathematica notebooks for the paper
The relationship between Zhedanov's algebra AW(3)
and the double affine Hecke algebra in the rank one case
This concerns T.H. Koornwinder's paper
The relationship between Zhedanov's algebra AW(3) and the double affine
Hecke algebra in the rank one case,
SIGMA
3 (2007), 063, 15 pages;
arXiv:math.QA/0612730v4.
The first three notebooks use the package
NCAlgebra 4.0.6.
The first three notebooks were last modified on September 18, 2015.
The last two notebooks were last modified on February 6, 2014.
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0612730_1.nb
(the algebra in Definition 6.1 and its Casimir operator)
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0612730_2.nb
(the algebra in Proposition 5.2, verification of relations (5.1)-(5.6) and
verification of relations (6.1)-(6.7))
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0612730_3.nb
(the algebra in Proposition 5.1 and verification of relations (5.7))
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0612730_4.nb
(verification that (2.5), (2.6) gives a representation)
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0612730_5.nb
(verification that (3.10)-(3.14) gives a representation and verification of
(6.1), (6.2) in the representation.
to Tom Koornwinder's home page