Talk:Kostka polynomial
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Formula backward? I think the formula defining the Kostka-Foulkes polynomials is backwards. They should appear as the coefficients when writing the shur functions in terms of the Hall-Littlewood polynomials and not the other way around. See http://arxiv.org/pdf/math/0401298v1.pdf equation (3.14) and the last display equation on page 23. Ahhoefel (talk) 14:31, 5 June 2014 (UTC)
Example. Here's a table for $K_{\lambda,\mu}(t)$ from MacDonald's book. The book doesn't make it clear whether I have the labels right for $\lambda$ and $\mu$. If someone can verify this, then we should include it. Ahhoefel (talk) 14:31, 5 June 2014 (UTC)
| mu | ||||||
| 4 | 31 | 22 | 211 | 1111 | ||
| lambda | 4 | 1 | t | t^2 | t^3 | t^6 |
| 31 | 1 | t | t + t^2 | t^3 + t^4 + t^5 | ||
| 22 | 1 | t | t^2 +t^4 | |||
| 211 | 1 | t + t^2 + t^3 | ||||
| 1111 | 1 |