Abstract
For group algebras the complexity of a module can be computed by looking at its restriction to elementary abelian subgroups. This statement is not true for modules over the restricted enveloping algebras of a restricted Lie algebra. Let be a connected semisimple group scheme and Gr be the rth Frobenius kernel. In this paper an upper bound on the complexity is provided for Gx T modules. Furthermore, a bound is given for the complexity of a simple Gr module, L(k), by the complexities of the simple G modules in the tensor product decomposition of L(A).
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