Approximating complex perplectic matrices by finite products from a finite generating set

• 主要作者: Pagaygay, Aaron
• 格式: text
• 語言: English
• 出版: Animo Repository 2021
• 主題: Matrices; Lie algebras; Mathematics
• 在線閱讀: https://animorepository.dlsu.edu.ph/etdm_math/2; https://animorepository.dlsu.edu.ph/cgi/viewcontent.cgi?article=1001&context=etdm_math

For positive integer n, let 𝓜n(ℂ) denote the set of all n x n matrices over ℂ. We say a matrix A in 𝓜n(ℂ) is a complex perplectic matrix whenever A is invertible and A-1=JA*J such that J is the matrix with 1s on the skew-diagonal and 0s everywhere else, and A* is the conjugate-transpose of A. The ma...