A NOTE ON DECOMPOSITIONS OF MATRICES IN THE CENTRALIZER OF A WEYR MATRIX
Nội dung chính của bài viết
Tóm tắt
Let F be an algebraically closed field of characteristic not equal to 2, and n be a positive integer. Assume S ∈ M3n(F) is a basic Weyr matrix with a homogeneous Weyr structure of length 3, and C(S) represents the centralizer of matrix S in M3n(F). This paper focuses on describing the subgroup generated by the commutators of involutions in C(S). Furthermore, we show that every matrix in this subgroup is the product of at most 2n2 commutators of involutions in C(S).
Từ khóa
Commutator, Involution, Matrix centralizer, Matrix decomposition, Weyr matrix
Chi tiết bài viết
Tài liệu tham khảo
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