@highergeometer@mathstodon.xyz
2026-02-27 07:34 UTC
OK, so here's a concrete question:
Given a compact Lie group G, a closed subgroup H, and the restriction map R(G) -> R(H), if I have an element g in the normaliser of H, what effect on the restriction map does conjugation with g have?
Replies (1)
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@highergeometer@mathstodon.xyz 2026-02-27 12:13
Actually, what I want is this: imagine you have compact Lie groups H and G, two smooth embeddings i,j : H -> G, and then an element g \in G such that i(h) = Ad_g j(h) for all h \in H. Then you have two restriction maps i*, j* : R(G) --> R(H). Under what conditions on g are these equal?