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

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

2003-09-25

arxiv.org/abs/math/0309418v2

Mathematics

Representation Theory

11 pages, to be published in Letters in Mathematical Physics; added references, corrected typos

Scientific paper

10.1023/B:MATH.0000017702.95884.

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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