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Restricted one-dimensional central extensions of restricted simple Lie algebras

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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… Click to show full 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 cocycles spanning H ⁎ 2 ( g ) , and in the case H 2 ( g ) ≠ 0 , we give a procedure to describe a basis for H ⁎ 2 ( g ) .

Keywords: central extensions; restricted simple; one dimensional; simple lie; dimensional central; restricted one

Journal Title: Linear Algebra and its Applications
Year Published: 2017

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