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

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

1998-05-07

arxiv.org/abs/math/9805034v1

Mathematics

Quantum Algebra

15 pages, Latex, no figures

Scientific paper

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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