On Blocks in Restricted Representations of Lie Superalgebras of Cartan Type |
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| Authors: | Fei Fei DUA Bin SHU Yu Feng YAO |
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| Affiliation: | 1. School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, P. R. China;2. School of Mathematical Sciences, East China Normal University, Shanghai 200241, P. R. China;3. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, P. R. China |
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| Abstract: | Let g be a restricted Lie superalgebra of Cartan type W (n), S(n) or H(n) over an algebraically closed field k of prime characteristic p > 3, in the sense of modular version of Kac's definition in 1977. In this note, we show that the restricted representation category over g has only one block (reckoning parities in). This phenomenon is very different from the case of characteristic zero. |
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| Keywords: | Lie superalgebra of Cartan type restricted representation block |
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