Journal of Lie Theory

no. 1
Block Degeneracy for Graded Lie Superalgebras of Cartan Type
Journal of Lie Theory, Volume 30 (2020) no. 1, pp. 145-154
Let K be an algebraically closed field of characteristic p > 0. In this short note, we illustrate a class of Lie superalgebras over K such that the category of restricted supermodules is of one block. As an application, if p > 3 and g is a graded restricted Cartan type Lie superalgebra of type W, S and H, then the category of restricted supermodules of g is of one block.
DOI: 10.5802/jolt.1107
Classification: 17B10, 17B35, 17B50, 17B70
Keywords: Lie superalgebra of Cartan type, block, restricted supermodule, baby Verma module 
@article{JOLT_2020_30_1_a7,
     author = {K. Ou},
     title = {Block {Degeneracy} for {Graded} {Lie} {Superalgebras} of {Cartan} {Type}},
     journal = {Journal of Lie Theory},
     pages = {145--154},
     year = {2020},
     volume = {30},
     number = {1},
     doi = {10.5802/jolt.1107},
     zbl = {1497.17012},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1107/}
}
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K. Ou. Block Degeneracy for Graded Lie Superalgebras of Cartan Type. Journal of Lie Theory, Volume 30 (2020) no. 1, pp. 145-154. doi: 10.5802/jolt.1107

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