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Mini
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Non Irreducible non-Abelian subgroup of group of unitary$\mathrm{U}_n(\mathbb{C})$, containing diagonal matrices

Does there exist any results regarding the structure ofConsider an irreducible non-abelian subgroupsAbelian subgroup $\mathrm{H}$ of group of unitary matrices? I would like to use $\mathrm{U}_n(\mathbb{C})$, that contains the probable results to see if a proper non-abelian subgroup containingof diagonal matrices exists or not. Does there exist any result regarding the properties or structures of $\mathrm{H}$? The final motivations is to answer this question.

P.S. The question has been updated after some useful comments.

Non-Abelian subgroup of group of unitary matrices

Does there exist any results regarding the structure of non-abelian subgroups of group of unitary matrices? I would like to use the probable results to see if a proper non-abelian subgroup containing diagonal matrices exists or not. The final motivations is to answer this question.

Irreducible non-Abelian subgroup of $\mathrm{U}_n(\mathbb{C})$, containing diagonal matrices

Consider an irreducible non-Abelian subgroup $\mathrm{H}$ of group of unitary matrices $\mathrm{U}_n(\mathbb{C})$, that contains the subgroup of diagonal matrices. Does there exist any result regarding the properties or structures of $\mathrm{H}$? The final motivations is to answer this question.

P.S. The question has been updated after some useful comments.

Source Link
Mini
Mini
  • 85
  • 8

Non-Abelian subgroup of group of unitary matrices

Does there exist any results regarding the structure of non-abelian subgroups of group of unitary matrices? I would like to use the probable results to see if a proper non-abelian subgroup containing diagonal matrices exists or not. The final motivations is to answer this question.