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

doi:10.1016/j.jsc.2019.02.012

paper

The BMM symmetrising trace conjecture for groups $G_{4}, G_{5}, G_{6}, G_{7}, G_{8}$

arXiv:1802.07482 · doi:10.1016/j.jsc.2019.02.012

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.

19 pages

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

Abstract

The BMM symmetrising trace conjecture for groups $G_{4}, G_{5}, G_{6}, G_{7}, G_{8}$