Mathematics – Representation Theory
Scientific paper
1995-09-02
Mathematics
Representation Theory
Scientific paper
We construct, by contraction of a suitable complex vector bundle, the Weil representation of the finite symplectic group $Sp(A)$. We give an explicit description of the space of all lagrangian subspaces, which we use to compute the cocycle of our representation in terms of a geometric Gauss sum. We recover in this way previously constructed generalized Weil representations (see \cite{ast,cor}) by restriction of our representation to an appropiate embedding of $SL(n) $ into $Sp(A)$.
Pantoja José
Soto-Andrade Jorge
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