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edit approved Sep 29, 2015 at 20:24
Dag Oskar Madsen
edit approved Sep 29, 2015 at 20:24
Dag Oskar Madsen
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If n$n$ is given and A$A$ is a subalgebra of M_n(C)$M_n(\mathbb C)$, the algebra of n-by-n$n \times n$ matrices with entries in the field of complex numbers, then what are the possible values of dimension of A$A$ as a vector space over C$\mathbb C$?

If n is given and A is a subalgebra of M_n(C), the algebra of n-by-n matrices with entries in the field of complex numbers, then what are the possible values of dimension of A as a vector space over C?

If $n$ is given and $A$ is a subalgebra of $M_n(\mathbb C)$, the algebra of $n \times n$ matrices with entries in the field of complex numbers, then what are the possible values of dimension of $A$ as a vector space over $\mathbb C$?

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David White
David White
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Dimension of subalgebras of a matrix algebra

If n is given and A is a subalgebra of M_n(C), the algebra of n-by-n matrices with entries in the field of complex numbers, then what are the possible values of dimension of A as a vector space over C?