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LI Sha-sha, SHU Bin. I(x)-Reduced representations of generalized Jacobson-Witt algebras W(m;n)(English)[J]. Journal of East China Normal University (Natural Sciences), 2008, (3): 51-58.
Citation:
LI Sha-sha, SHU Bin. I(x)-Reduced representations of generalized Jacobson-Witt algebras W(m;n)(English)[J]. Journal of East China Normal University (Natural Sciences), 2008, (3): 51-58.
LI Sha-sha, SHU Bin. I(x)-Reduced representations of generalized Jacobson-Witt algebras W(m;n)(English)[J]. Journal of East China Normal University (Natural Sciences), 2008, (3): 51-58.
Citation:
LI Sha-sha, SHU Bin. I(x)-Reduced representations of generalized Jacobson-Witt algebras W(m;n)(English)[J]. Journal of East China Normal University (Natural Sciences), 2008, (3): 51-58.
School of Mathematics and Information Science, Shandong University of Technology, Zibo Shandong 255049, China2. Department of Mathematics, East China Normal University, Shanghai 200062, China
This paper studied the representations of graded Cartan type Lie algebra W(m;n) in characteristic p2, by generalizing the arguments of Shu's for restricted Lie algebras W(m;1). Especially, the rank-reducing method exploited in the restricted case was extended to non-restricted case. The simplemodules for W(m;n) with generalized p-character x were described by reduction when x was regular semisimple.
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