Timeline for Structure of the adjoint representation of a (finite) group (Hopf algebra) ?
Current License: CC BY-SA 3.0
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| Jan 5, 2014 at 21:19 | comment | added | Qiaochu Yuan | @Alexander: in the finite case, each such subrepresentation is of the form $\mathbb{C}[G/H] \cong \text{Ind}_H^G(1)$ for $H$ the centralizer of a conjugacy class. I don't know what can be said about these representations in full generality. | |
| Jan 5, 2014 at 9:42 | comment | added | Alexander Chervov | Thank you, but I think more can be said. In particular each conjugacy class is stable under conjugation, so functions on each conj. class are subrepresentations. It seems interesting to understand what representation lives in such spaces. | |
| Jan 4, 2014 at 20:51 | history | answered | Qiaochu Yuan | CC BY-SA 3.0 |