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Inverse limits in representations of a restricted Lie algebra |
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| Authors: | Yu Feng Yao Bin Shu Yi Yang Li | |
| Institution: | 1. Department of Mathematics, Shanghai Maritime University, Shanghai, 201306, P. R. China 2. Department of Mathematics, East China Normal University, Shanghai, 200241, P. R. China 3. School of Fundamental Studies, Shanghai University of Engineering Science, Shanghai, 201620, P. R. China |
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| Abstract: | Let (g, p]) be a restricted Lie algebra over an algebraically closed field of characteristic p > 0. Then the inverse limits of “higher” reduced enveloping algebras {u χ s (g) | s ∈ ?} with χ running over g* make representations of g split into different “blocks”. In this paper, we study such an infinite-dimensional algebra  mod and  | |
| Keywords: | Restricted Lie algebra reductive Lie algebra inverse limit projective module standard Levi form | |
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