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math.RT2016★ 5 cited
An application of TQFT to modular representation theory
Patrick M. Gilmer, Gregor Masbaum
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) wh…
math.RT2011★ 3 cited
Dimension formulas for some modular representations of the symplectic group in the natural characteristic
Patrick M. Gilmer, Gregor Masbaum
We compare the dimensions of the irreducible Sp(2g,K)-modules over a field K of characteristic p constructed by Gow with the dimensions of the irreducible Sp(2g,F_p)-modules that a…