Geodesic
Block Degeneracy for Graded Lie Superalgebras of Cartan Type
Journal of Lie theory, Tome 30 (2020) no. 1, pp. 145-154
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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.
Classification : 17B10, 17B35, 17B50, 17B70
Mots-clés : Lie superalgebra of Cartan type, block, restricted supermodule, baby Verma module 
@article{JLT_2020_30_1_JLT_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},
     url = {http://geodesic.mathdoc.fr/item/JLT_2020_30_1_JLT_2020_30_1_a7/}
}
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K. Ou. Block Degeneracy for Graded Lie Superalgebras of Cartan Type. Journal of Lie theory, Tome 30 (2020) no. 1, pp. 145-154. http://geodesic.mathdoc.fr/item/JLT_2020_30_1_JLT_2020_30_1_a7/