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MR2172339 20C08 (17B37 33C52)
Kasatani, Masahiro Subrepresentations in the polynomial representation of the double affine Hecke algebra of type ${\rm GL}_n$ at $t^{k+1}q^{r-1}=1$. Int. Math. Res. Not. 2005, no. 28, 1717–1742.
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