ON SOME REFLECTION MATROIDS
Abstract
The aim of this paper is to construct the reflection matroids that related to some types of reflection groups. The Coxetermatroid of the complexification of the Coxeter arrangements(A(I_2 (n) ),n=4),〖(A(A〗_n),n≥3), 〖(A(B〗_n),n≥3), 〖(A(C〗_n),n≥3)and〖(A(D〗_n),n=4) were constructed. As well as, the reflection matroids of the complex reflection arrangements 〖A(G〗_24),〖A(G〗_25),〖 A(G〗_26) and 〖A(G〗_27)were computed.
Keywords
Reflection arrangement, Hypersolvable arrangement, Supersolvable arrangement, Matroid theory, Reduced Homological group and, Cohen Macaulay ring.Metrics