Geodesic
Block Degeneracy for Graded Lie Superalgebras of Cartan Type
Ke Ou1
1Dept. of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221, P. R. China
Journal of Lie Theory, Tome 30 (2020) no. 1, pp. 145-154

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Ke Ou  1

1 Dept. of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221, P. R. China 
Ke 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/JOLT_2020_30_1_a7/
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     author = {Ke 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/JOLT_2020_30_1_a7/}
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