Geodesic
Finite-Dimensional Odd Contact Superalgebras over a Field of Prime Characteristic
Journal of Lie theory, Tome 21 (2011) no. 3, pp. 729-754 Cet article a éte moissonné depuis la source Heldermann Verlag

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Let g be any finite-dimensional odd Contact superalgebra over a field of prime characteristic. By means of determining the minimal dimensions of image spaces of certain inner superderivations, it is proved that the principal filtration of g is invariant under the automorphisms of g. Then, the parameters by which g is defined are proved to be intrinsic and thereby the odd Contact superalgebras are classified up to isomorphisms. Furthermore, the restrictedness of g is determined and the automorphism group of g in restrictedness case is proved to be isomorphic to the admissible automorphism group of the underlying superalgebra of g under a concrete isomorphism Φ. Further properties of Φ are given and as an application, the results above are used to discuss the p-characters of the irreducible representations for g.
Classification : 17B50, 17B4
Mots-clés : Odd contact superalgebra, filtration, automorphism, character 
@article{JLT_2011_21_3_JLT_2011_21_3_a4,
     author = {Y. Chen and W. Liu },
     title = {Finite-Dimensional {Odd} {Contact} {Superalgebras} over a {Field} of {Prime} {Characteristic}},
     journal = {Journal of Lie theory},
     pages = {729--754},
     year = {2011},
     volume = {21},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2011_21_3_JLT_2011_21_3_a4/}
}
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Y. Chen; W. Liu . Finite-Dimensional Odd Contact Superalgebras over a Field of Prime Characteristic. Journal of Lie theory, Tome 21 (2011) no. 3, pp. 729-754. http://geodesic.mathdoc.fr/item/JLT_2011_21_3_JLT_2011_21_3_a4/