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An application of TQFT to modular representation theory (1606.09532v2)
Published 30 Jun 2016 in math.RT, math.GT, and math.QA
Abstract: 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 the symplectic group Sp(2g,K) where K is an algebraically closed field of characteristic p. This permits explicit formulae for the dimension and the formal character of L_p(lambda) for these highest weights.
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