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Timeline for Dimension of commutant

Current License: CC BY-SA 4.0

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Jul 4, 2021 at 7:53 vote accept Peg Leg Jonathan
Jul 2, 2021 at 16:18 comment added Onur Oktay If an $n\times n$ matrix B commutes with every other $n\times n$ matrices, then B is a constant multiple of the identity matrix. // If a subgroup G of $n\times n$ matrices is irreducible (in the sense that if $\forall A\in G\hspace{2mm} AV\subseteq V $ then $V=\mathbb{C}^n$, where $V\neq\{0\}$ is a vector subspace of $\mathbb{C}^n$) then $BA=AB$ for every $A\in G$ implies that $A=cI$ for some $c\in\mathbb{C}$..
Jun 29, 2021 at 7:29 answer added Mare timeline score: 6
Jun 29, 2021 at 7:21 history asked Peg Leg Jonathan CC BY-SA 4.0