Hankel Pfaffians, Discriminants and Kazhdan-Lusztig bases
classification
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baseskazhdan-lusztigpfaffianscasecompletediscriminantdiscriminantsentries
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We use Kazhdan-Lusztig bases of representations of the symmetric group to express Pfaffians with entries $(a_i-a_j) h_{i+j}$. In the case where the parameters $a_i$ are specialized to successive powers of $q$, and the $h_i$ are complete functions, we obtain the $q$-discriminant.
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