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A Simple Cocyclic Jacket Matrices
Author(s) -
Moon Ho Lee,
Gui-Liang Feng,
Zhu Chen
Publication year - 2008
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2008/132674
Subject(s) - unitary state , simple (philosophy) , mathematics , class (philosophy) , finite field , pure mathematics , field (mathematics) , algebra over a field , unitary matrix , construct (python library) , relation (database) , matrix (chemical analysis) , circular ensemble , combinatorics , computer science , artificial intelligence , materials science , philosophy , epistemology , database , political science , law , composite material , programming language
We present a new class of cocyclic Jacket matrices over complex number field with any size. We also construct cocyclic Jacket matrices over the finite field. Such kind of matrices has close relation with unitary matrices which are a first hand tool in solving many problems in mathematical and theoretical physics. Based on the analysis of the relation between cocyclic Jacket matrices and unitary matrices, the common method for factorizing these two kinds of matrices is presented

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