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If $G$ is a group of automorphisms acting on a curve $X/\C$, the group algebra decomposition of its Jacobian $J$ into a product of abelian varieties $A_1\times \cdots\times A_s$, gives rise to representations of $G$ via the induced action of $G$ on each of the factors $A_i$ (viewed as a complex vector space).

The character of each of these representations is identified by its index in the character table for $G$ as listed by Magma (which may differ from GAP).

Knowl status:
  • Review status: reviewed
  • Last edited by Andrew Sutherland on 2018-07-31 23:14:51
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