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Pete L. Clark
Pete L. Clark
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From the example $D_4$, $Q$, we see that the character table of a group doesn't determine the group up to isomorphism. On the other hand, Tannaka duality says that a group $G$ is determined by its representation ring $R(G)$.

What is the additional information contained in $R(G)$ as opposed to the character table?re

From the example $D_4$, $Q$, we see that the character table of a group doesn't determine the group up to isomorphism. On the other hand, Tannaka duality says that a group $G$ is determined by its representation ring $R(G)$.

What is the additional information contained in $R(G)$ as opposed to the character table?re

From the example $D_4$, $Q$, we see that the character table of a group doesn't determine the group up to isomorphism. On the other hand, Tannaka duality says that a group $G$ is determined by its representation ring $R(G)$.

What is the additional information contained in $R(G)$ as opposed to the character table?

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user19475
user19475

Character table does not determine group Vs Tannaka duality

From the example $D_4$, $Q$, we see that the character table of a group doesn't determine the group up to isomorphism. On the other hand, Tannaka duality says that a group $G$ is determined by its representation ring $R(G)$.

What is the additional information contained in $R(G)$ as opposed to the character table?re