arXiv:1606.09532 Abstract | arXiv Analytics

arXiv:1606.09532 [math.RT]Abstract References Reviews Resources

An application of TQFT to modular representation theory

Published 2016-06-30Version 1

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.

Comments: 20 pages, 3 figures

Categories: math.RT, math.GT, math.QA

Keywords: modular representation theory, application, symplectic group sp, highest weight modules, topological quantum field theory

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