(4) N ˜G( ˜H c(R)) = N ˜G(h): Using (3), we see that g ∈ ˜G normalises ˜H c(R) if and only if it normalises ˜H c, if and only if it normalises hc, if and only if it normalises h

By assumption, ghcg− 1 = hc, which implies hc 0 = hc, hence H c 0 = ˜H c by [12, /T_heorem 4

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math.RT · 2019-07-02 · unverdicted · novelty 5.0

An explicit combinatorial construction is given for the real Weyl group of semisimple real Lie algebras.

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Computing the real Weyl group math.RT · 2019-07-02 · unverdicted · none · ref 5
An explicit combinatorial construction is given for the real Weyl group of semisimple real Lie algebras.