Owner-reported breed-typical behavior and breed-group differences in the german pet dog population

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We study the restricted one-dimensional central extensions of an arbitrary finite dimensional restricted simple Lie algebra for p≥5. For H2(g)=0, we explicitly describe the cocycles spanning H⁎2(g), and in the case H2(g)≠0, we give a procedure to describe a basis for H⁎2(g).