Geodesic
An Aspect of Icosahedral Symmetry
Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 686-696

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We embed the moduli space $Q$ of 5 points on the projective line ${{S}_{5}}$ -equivariantly into $\mathbb{P}\left( V \right)$ , where $V$ is the 6-dimensional irreducible module of the symmetric group ${{S}_{5}}$ . This module splits with respect to the icosahedral group ${{A}_{5}}$ into the two standard 3-dimensional representations. The resulting linear projections of $Q$ relate the action of ${{A}_{5}}$ on $Q$ to those on the regular icosahedron.
DOI : 10.4153/CMB-2002-061-6
Mots-clés : 14L24, 20B25 
Rauschning, Jan; Slodowy, Peter. An Aspect of Icosahedral Symmetry. Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 686-696. doi: 10.4153/CMB-2002-061-6
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     title = {An {Aspect} of {Icosahedral} {Symmetry}},
     journal = {Canadian mathematical bulletin},
     pages = {686--696},
     year = {2002},
     volume = {45},
     number = {4},
     doi = {10.4153/CMB-2002-061-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-061-6/}
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