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math.RT2009
Realizing the local Weil representation over a number field
Gerald Cliff, David McNeilly
We show that the Weil representation of the symplectic group Sp(2n,F), where F is a non-archimedian local field, can be realized over the field obtained from the rationals by adjoi…
math.RT2008
A basis of bideterminants for the coordinate ring of the orthogonal group
Gerald Cliff
We give a basis of bideterminants for the coordinate ring K[O(n)] of the orthogonal group O(n,K), where K is an infinite field of characteristic not 2. The bideterminants are index…