Articles with "restricted simple" as a keyword



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On restricted simple modules of contact Lie superalgebras of odd type

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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… read more here.

Keywords: lie superalgebras; odd type; restricted simple; superalgebras odd ... See more keywords
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Restricted one-dimensional central extensions of restricted simple Lie algebras

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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… read more here.

Keywords: central extensions; restricted simple; one dimensional; simple lie ... See more keywords
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On cohomology of a class of nonclassical restricted simple Lie algebras

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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… read more here.

Keywords: nonclassical restricted; cohomology class; lie algebras; restricted simple ... See more keywords