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For p>3 a prime, and g>2 an integer, we use Topological Quantum Field Theory(TQFT) to study a family of p-1 highest weight modules L_p(lambda) for thesymplectic group Sp(2g,K) where K is an algebraically closed field ofcharacteristic p. This permits explicit formulae for the dimension and theformal character of L_p(lambda) for these highest weights.

An application of TQFT to modular representation theory