Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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HANKEL PFAFFIANS, DISCRIMINANTS AND KAZHDAN-LUSZTIG BASES

  • Received : 2011.04.06
  • Published : 2012.07.01
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Abstract

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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References

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