An application of TQFT to modular representation theory
arXiv:1606.09532 · doi:10.1007/s00222-017-0734-4
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.
arXiv comment24 pages, 3 figures. v2: Lemma 3.1 and Appendix A added
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