If $V$ is a vector space on $\mathbb{C}$ with finite dimension $n$. Take two basis $B_{1}, B_{2}$ of $V$ and the relative isomorphisms $F_{B_{i}}:GL(V) \rightarrow GL(n)$. The question is if exists a $\psi$ authomorphism of $GL(n)$ as algebra such that $F_{B_{1}}\psi=F_{B_{2}}$
2026-03-27 01:13:59.1774574039
Changing basis $V$
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