Geodesic
On Odd Parameters in Geometry
Journal of Lie theory, Tome 33 (2023) no. 4, pp. 965-1004
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(1) In 1976, looking at the list of simple finite-dimensional complex Lie superalgebras, J. Bernstein and I, and independently M. Duflo, observed that some divergence-free vectorial Lie superalgebras have deformations with odd parameters and conjectured that no other simple Lie superalgebras have such deformations. Here, I prove this conjecture and overview the known classification of simple finite-dimensional complex Lie superalgebras, their presentations, realizations, and relations with simple Lie (super)algebras over fields of positive characteristic.
Classification : 58A50, 17B60
Mots-clés : Simple Lie superalgebra, deformation, non-split supermanifold 
@article{JLT_2023_33_4_JLT_2023_33_4_a1,
     author = {D. Leites},
     title = {On {Odd} {Parameters} in {Geometry}},
     journal = {Journal of Lie theory},
     pages = {965--1004},
     year = {2023},
     volume = {33},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2023_33_4_JLT_2023_33_4_a1/}
}
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D. Leites. On Odd Parameters in Geometry. Journal of Lie theory, Tome 33 (2023) no. 4, pp. 965-1004. http://geodesic.mathdoc.fr/item/JLT_2023_33_4_JLT_2023_33_4_a1/