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Published in 2017 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201600478
Abstract: For contact Lie superalgebras of odd type over an algebraically closed field of characteristic p>3, the composition factors of Kac modules and the character formulas for all the restricted simple modules are explicitly determined. And…
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Keywords:
lie superalgebras;
odd type;
restricted simple;
superalgebras odd ... See more keywords
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Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2016.09.037
Abstract: Abstract We study the restricted one-dimensional central extensions of an arbitrary finite dimensional restricted simple Lie algebra for p ≥ 5 . For H 2 ( g ) = 0 , we explicitly describe the…
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Keywords:
central extensions;
restricted simple;
one dimensional;
simple lie ... See more keywords
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Published in 2017 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498817501572
Abstract: In this note, we study the cohomology of the nonclassical restricted Lie algebras W(n), n ∈ ℕ+ over a field ???? of characteristic p > 0, which are by definition the Lie algebras of derivations…
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Keywords:
nonclassical restricted;
cohomology class;
lie algebras;
restricted simple ... See more keywords