Hankel Pfaffians, Discriminants and Kazhdan-Lusztig bases

Details Hankel Pfaffians, Discriminants and Kazhdan-Lusztig bases Hankel Pfaffians, Discriminants and Kazhdan-Lusztig bases

2011-03-25

arxiv.org/abs/1103.4971v1

Mathematics

Combinatorics

21 pages

Scientific paper

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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