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Back to the Amitsur-Levitzki theorem: a super version for the orthosymplectic Lie superalgebra osp(1, 2n)

Pierre-Alexandre Gie·Georges Pinczon·Rosane Ushirobira
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Abstract

We prove an Amitsur-Levitzki type theorem for the Lie superalgebras osp(1,2n) inspired by Kostant's cohomological interpretation of the classical theorem. We show that the Lie superalgebras gl(p,q) cannot satisfy an Amitsur-Levitzki type super identity if p, q are non zero and conjecture that neither can any other classical simple Lie superalgebra with the exception of osp(1,2n).

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BibTeXRIS

Pierre-Alexandre Gie, Georges Pinczon, Rosane Ushirobira. 2003-10-09. Back to the Amitsur-Levitzki theorem: a super version for the orthosymplectic Lie superalgebra osp(1, 2n). https://doi.org/10.1023/b%3Amath.0000017702.95884.c0

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