Changes between Initial Version and Version 1 of Ticket #20402, comment 47


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Timestamp:
04/26/16 19:28:23 (3 years ago)
Author:
stumpc5
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  • Ticket #20402, comment 47

    initial v1  
    1 One quick question outside of finite type Weyl and Coxeter groups {{{W}}}: is it correct that the actions of {{{W}}} on {{{V}}} and on {{{V^*}}} are the same. This is, the image of (x1,...,xn) under {{{w}}} is the same for (x1,...,xn) being a vector in {{{V}}} expressed in the basis {ei} and being a vector in {{{V^*}}} being expressed in the dual basis {xi}?
     1One quick question outside of finite type Weyl and Coxeter groups {{{W}}}: is it correct that the actions of {{{W}}} on {{{V}}} and on {{{V^*}}} are the same. This is, the image of (x1,...,xn) under {{{w}}} is the same for (x1,...,xn) being a vector in {{{V}}} expressed in the basis {ei} and being a vector in {{{V^*}}} expressed in the dual basis {xi}?