Timeline for The dimension of the representation ring
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4 events
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Jul 3, 2023 at 16:57 | comment | added | Stefan Dawydiak | Note also that when $G$ is not connected, the various connected components of $\mathrm{Spec}(R(G))$ have different dimensions in general. See for example the case of even orthogonal groups in H. Minami, "THE REPRESENTATION RINGS OF ORTHOGONAL GROUPS" Osaka J. Math. (8) 1971, 243–250. | |
Jun 30, 2023 at 10:06 | comment | added | abx | If $G$ is connected, $R(G)=R(T)^W$, where $T$ is a maximal torus and $W$ the Weyl group. Then $\dim R(G)=\dim R(T)^W=\dim R(T)= \operatorname{rk}G+1 $. | |
S Jun 30, 2023 at 9:37 | review | First questions | |||
Jun 30, 2023 at 9:38 | |||||
S Jun 30, 2023 at 9:37 | history | asked | Markuss Schmuckler | CC BY-SA 4.0 |