MathDB3 problems
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Lapointe–Vinet's Jack creation-operator properties
Lapointe–Vinet's Jack-operator conjecture. The creation operators share the following properties:
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Lapointe–Vinet's identification of Macdonald creation operators
Lapointe–Vinet's operator-identification conjecture. The creation operators satisfy
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Lapointe–Vinet's creation-operator formula for Macdonald polynomials
Lapointe–Vinet's creation-operator conjecture. The Macdonald polynomials are given by