Non-Commutative Resolutions for the Discriminant of the Complex Reflection Group G(m, p, 2)

Abstract We show that for the family of complex reflection groups G = ( m , p ,2) appearing in Shephard–Todd classification, endomorphism ring reduced hyperplane arrangement A ) is a non-commutative resolution coordinate discriminant Δ . This furthers work Buchweitz, Faber and Ingalls who showed this result holds any true group. In particular, we construct matrix factorization from decompose it using data irreducible representations For give full decomposition factorization, including each representation corresponding maximal Cohen–Macaulay module. The concludes will be resolution. ,1,2), rings their respective discriminants are all isomorphic to other. also calculate compare Lusztig algebra these groups.