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Can $U(n)$ be constructed as a countable union of proper Lie subgroups of $U(n)$?

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#manifolds #lie-groups #unitary-matrices
193
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What does algebraically closed field play the role in Schur's unitary triangulation theorem?

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#linear-algebra #jordan-normal-form #unitary-matrices #matrix-analysis #schur-decomposition
121
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Understanding proof of Collins' Weingarten calculus formula

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#probability #representation-theory #symmetric-groups #unitary-matrices
143
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$SU(2)$ and the $3$-sphere, with $SO(2)$ a longitude

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#matrices #group-theory #differential-geometry #orthogonal-matrices #unitary-matrices
93
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Problem on unitary matrix

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#linear-algebra #matrices #complex-numbers #matrix-norms #unitary-matrices
148
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Exponential form of a unitary operator

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#solution-verification #operator-theory #adjoint-operators #unitary-matrices
130
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Can you generate all unitary operators from the unit ball of Hermitian operators?

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#functional-analysis #lie-groups #matrix-exponential #unitary-matrices #hermitian-matrices
85
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Determinant of $[A,X]$

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#linear-algebra #determinant #unitary-matrices
778
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Cubic Casimir for $su(3)$

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#group-theory #lie-groups #lie-algebras #unitary-matrices
218
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How to find the inverse of a linear combination of unitary matrices?

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#linear-algebra #matrices #inverse #unitary-matrices
134
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Is there unitary matrix with eigenvalues $1$ , $i$ , $-i$ , $1-i$ , $1+i$?

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#linear-algebra #matrices #eigenvalues-eigenvectors #unitary-matrices
750
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How to find a unitary (transformation) matrix between two given vectors?

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#vectors #transformation #unitary-matrices
109
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Do exist infinitely many unitary transformations between two real vectors?

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#vector-spaces #vectors #unitary-matrices
1k
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Find a unitary matrix given eigenvectors and eigenvalues

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#linear-algebra #matrices #eigenvalues-eigenvectors #unitary-matrices
69
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Adjoint Operators and Finite Dimension Unitary Vector Space

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#linear-algebra #vector-spaces #unitary-matrices

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