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.