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

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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https://hal.archives-ouvertes.fr/hal-00438547
Contributor : Rosane Ushirobira <>
Submitted on : Thursday, December 3, 2009 - 11:43:05 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM

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Pierre-Alexandre Gie, Georges Pinczon, Rosane Ushirobira. Back to the Amitsur-Levitzki theorem: a super version for the orthosymplectic Lie superalgebra osp(1, 2n). Letters in Mathematical Physics, Springer Verlag, 2003, pp.14. ⟨10.1023/B:MATH.0000017702.95884.c0⟩. ⟨hal-00438547⟩

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