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arXiv · 1606.09532

An application of TQFT to modular representation theory

Patrick M. Gilmer·Gregor Masbaum
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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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BibTeXRIS

Patrick M. Gilmer, Gregor Masbaum. 2016-06-30. An application of TQFT to modular representation theory. https://doi.org/10.1007/s00222-017-0734-4

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