Subgroups of the unitary group that contain the group of diagonal matrices
In the groupU(n,ℂ) of all complex unitary matrices we obtain a description of the lattice of those subgroups H that contain the group of diagonal unitarymatrices. This lattice is finite, and the connected intermediate subgroups H are in bijective correspondence with the equivalence relations on a set ofn elements.
KeywordsEquivalence Relation Unitary Group Diagonal Matrice Unitary Matrice Bijective Correspondence
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