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arXiv · 1802.07482

The BMM symmetrising trace conjecture for groups $G_4,\,G_5,\,G_6,\,G_7,\,G_8$

Christina Boura·Eirini Chavli·Maria Chlouveraki·Konstantinos Karvounis
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Abstract

We prove the BMM symmetrising trace conjecture for the exceptional complex reflection groups $G_4,\,G_5,\,G_6,\,G_7,\,G_8$ using a combination of algorithms programmed in different languages (C++, SAGE, GAP3, Mathematica). Our proof depends on the choice of a suitable basis for the generic Hecke algebra associated with each group.

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Christina Boura, Eirini Chavli, Maria Chlouveraki, Konstantinos Karvounis. 2018-02-21. The BMM symmetrising trace conjecture for groups $G_4,\,G_5,\,G_6,\,G_7,\,G_8$. https://doi.org/10.1016/j.jsc.2019.02.012

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