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arXiv 2013-02-08 0 views

(q,t)-hook formula for Birds and Banners

Ishikawa, Masao

Original · EN

We study Okada's conjecture on (q,t)-hook formula of general d-complete posets. Proctor classified d-complete posets into 15 irreducible ones. We try to give a case-by-case proof of Okada's (q,t)-hook formula conjecture using the symmetric functions. Here we give a proof of the conjecture for birds and banners, in which we use Gasper's identity for VWP-series ₁₂W₁₁.

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