The second cohomology of sl(m|1) with coefficients in its enveloping algebra is trivial

1998/05/07 by M. Scheunert, Scheunert, M., R. B. Zhang +1
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/9805034

15 pages, Latex, no figures

arxiv created 1998/05/07 · arxiv updated 2009/11/30

Abstract

Using techniques developed in a recent article by the authors, it is proved that the 2-cohomology of the Lie superalgebra sl(m|1); m > 1, with coefficients in its enveloping algebra is trivial. The obstacles in solving the analogous problem for sl(3|2) are also discussed.

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