On the basic representation of the double affine Hecke algebra at critical level
Representation Theory
2024-12-13 v1
Abstract
We construct the basic representation of the double affine Hecke algebra at critical level associated to an irreducible reduced affine root system with a reduced gradient root system. For of untwisted type such a representation was studied by Oblomkov [O04] and further detailed by Gehles [G06] in the presence of minuscule weights.
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Cite
@article{arxiv.2412.09397,
title = {On the basic representation of the double affine Hecke algebra at critical level},
author = {J. F. van Diejen and E. Emsiz and I. N. Zurrián},
journal= {arXiv preprint arXiv:2412.09397},
year = {2024}
}
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7 pages