The BMM symmetrising trace conjecture for groups G4,  G5,  G6,  G7,  G8. (January 2020)

• Record Type: Journal Article
• Authors: Boura, Christina; Chavli, Eirini; Chlouveraki, Maria; Karvounis, Konstantinos
• Is Part Of: Journal of symbolic computation. Volume 96(2020)
• Page Start: 62
• Page End: 84
• Publication Date: 2020-01
• Subjects: 20C08 -- 20C40; Hecke algebras -- Complex reflection groups -- Symmetric algebras -- BMM symmetrising trace conjecture; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2019.02.012
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We prove the BMM symmetrising trace conjecture for the exceptional irreducible 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.