#notasubtoot — Public Fediverse posts
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just in case anyone is interested in how to do complex linear algebra, including complex tensor products, without using complex numbers - using real linear operators \(J\) with \(J\circ J=-I\) instead of complex scalars - here are some links.
The TLDR version on a poster:
http://mwaa.math.indianapolis.iu.edu/Slides/coffman.pdfUsing a basis, matrices, and summing over indices - sections 4&5 of this paper:
https://users.pfw.edu/CoffmanA/pdf/basis1.pdfWithout a basis (but still a lot of notation) - Chapter 5 starting on page 195, with tensor products starting with Example 5.74 on page 208:
https://users.pfw.edu/CoffmanA/pdf/book.pdf
#LinearAlgebra #ComplexNumbers #NotASubToot