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arXiv · 2112.10853

Centers of Hecke Algebras of Complex Reflection Groups

Eirini Chavli·Götz Pfeiffer
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Abstract

We provide a dual version of the Geck--Rouquier Theorem on the center of an Iwahori--Hecke algebra, which also covers the complex case. For the eight complex reflection groups of rank $2$, for which the symmetrising trace conjecture is known to be true, we provide a new faithful matrix model for their Hecke algebra $H$. These models enable concrete calculations inside $H$. For each of the eight groups, we compute an explicit integral basis of the center of $H$.

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BibTeXRIS

Eirini Chavli, Götz Pfeiffer. 2023-03-16. Centers of Hecke Algebras of Complex Reflection Groups. https://doi.org/10.1007/s13366-023-00690-2

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