It is a very basic question. But I am not able to find the answer. What is a basis for $M_1(\mathbb{C})\oplus M_1(\mathbb{C})\oplus M_2(\mathbb{C})$ interms of the basis of each terms. We have the group structure $\mathbb{C}S_3$ is as above. How can I map the basis elements $S_3$ from one side to the other side so that it gives an algebra isomorphism?
2026-04-13 17:27:29.1776101249
basis of direct sum of matrix algebras
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