J. F. van Diejen, E. Emsiz, I. N. Zurrián
Published 2024-12-12Version 1
We construct the basic representation of the double affine Hecke algebra at critical level $q=1$ associated to an irreducible reduced affine root system $R$ with a reduced gradient root system. For $R$ of untwisted type such a representation was studied by Oblomkov [O04] and further detailed by Gehles [G06] in the presence of minuscule weights.
Comments: 7 pages
Journal: Journal of Algebra and Its Applications, Vol. 23, No. 03, 2450061 (2024)
The polynomial representation of the double affine Hecke algebra of type $(C^\vee_n, C_n)$ for specialized parameters
Quasi-polynomial representations of double affine Hecke algebras
Quasi-integrable modules (Critical level)
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