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Tagged with dual-maps adjoint-operators
3 questions
4
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Can someone explain why we define adjoint?
Recently I've been reviewing linear algebra. The definition of adjoint of a linear map on an inner product space seems not really natrual. Looks like people use this to define normal and self-adjoint ...
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2
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Matrix representation of adjoint & co-adjoint orbit of $so(3)$
So I am trying to find the co-adjoint orbits of the lie algebra $so(3)^*$ from this example but I am stuck with a very trivial linear algebra property
now I found the adjoint orbits and I know the ...
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Any connection between the adjoint map that has determinant $det(\phi)^{(n-1)}$, and the adjoint map that has determinant $ det\phi$?
Is there any connection between the adjoint mapping that is introduced
while studying the matrices, and the adjoint mapping that is
introduced while studying inner product spaces ?
I mean, for ...