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nLab > Latest Changes: Weyl group

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 18th 2018

    made explicit that for a normal subgroup N⊂GN \subset G its “Weyl group” in the sense of W HG≔(N GH)/HW_H G \coloneqq (N_G H)/H coincides with the plain quotient group G/NG/N.

    diff, v8, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 25th 2020
    • (edited Sep 25th 2020)

    In the section In equivariant homotopy theory I have added that the Weyl group is the automorphism group of the corresponding coset in the orbit category:

    End GOrbits(G/H)=Aut GOrbits(G/H)≃W G(H). End_{G Orbits} \big( G/H \big) \;\; = Aut_{G Orbits} \big( G/H \big) \;\; \simeq \;\; W_G(H) \,.

    diff, v11, current

1 to 2 of 2

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