The Sign Representation for Shephard Groups Peter Orlik Victor Reiner and Anne V Shepler Dedicated to Louis Solomon on His Seventieth Birthday
نویسندگان
چکیده
Shephard groups are unitary re ection groups arising as the sym metries of regular complex polytopes For a Shephard group we identify the representation carried by the principal ideal in the coinvariant algebra gener ated by the image of the product of all linear forms de ning re ecting hyper planes This representation turns out to have many equivalent guises making it analogous to the sign representation of a nite Coxeter group One of these guises is up to a twist the cohomology of the Milnor ber for the isolated singularity at in the hypersurface de ned by any homogeneous invariant of minimal degree
منابع مشابه
The Sign Representation for Shephard Groups
Shephard groups are unitary reflection groups arising as the symmetries of regular complex polytopes. For a Shephard group, we identify the representation carried by the principal ideal in the coinvariant algebra generated by the image of the product of all linear forms defining reflecting hyperplanes. This representation turns out to have many equivalent guises making it analogous to the sign ...
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