Hermite Reciprocity for the Regular Representations of Cyclic Groups
نویسنده
چکیده
A formula is obtained for the dimension a(n; m) of the space of degree m invariants of the regular representation of the n-th order cyclic group. This formula implies in particular that a(n; m) = a(m; n). Moreover, the automorphism group of the multiplicative semigroup generated by invariant monomials of the cyclic group in that representation is determined.
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تاریخ انتشار 1998