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

Christina Boura; Eirini Chavli; Konstantinos Karvounis; Maria Chlouveraki

arxiv: 1802.07482 · v3 · pith:KRNU3MUInew · submitted 2018-02-21 · 🧮 math.RT

The BMM symmetrising trace conjecture for groups G₄,\,G₅,\,G₆,\,G₇,\,G₈

Christina Boura , Eirini Chavli , Maria Chlouveraki , Konstantinos Karvounis This is my paper

classification 🧮 math.RT

keywords conjecturegroupssymmetrisingtracealgebraalgorithmsassociatedbasis

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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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The BMM symmetrising trace conjecture for groups G₄,\,G₅,\,G₆,\,G₇,\,G₈

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