Open AccessA decomposition of the tensor product of matrices
Author(s) -
Caixing Gu,
Jaehui Park
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2101105g
Subject(s) - mathematics , tensor product , unitary state , equivalence (formal languages) , pure mathematics , tensor product of hilbert spaces , tensor (intrinsic definition) , decomposition , product (mathematics) , algebra over a field , matrix (chemical analysis) , unitary matrix , tensor contraction , geometry , ecology , materials science , biology , political science , law , composite material
In this paper we decompose (under unitary equivalence) the tensor product A ? A into a direct sum of irreducible matrices, when A is a 3 x 3 matrix.