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math.RA2019
The Dzhumadildaev brackets: a hidden supersymmetry of commutators and the Amitsur-Levitzki-type identities
Alexei Lebedev, Dimitry Leites
The Amitsur-Levitzki identity for matrices was generalized in several directions: by Kostant for simple finite-dimensional Lie algebras, by Kirillov (later joined by Kontsevich, Mo…
math.RA2009★ 12 cited
The classification of almost affine (hyperbolic) Lie superalgebras
Danil Chapovalov, Maxim Chapovalov, Alexei Lebedev +1
We say that an indecomposable Cartan matrix A with entries in the ground field of characteristic 0 is almost affine if the Lie sub(super)algebra determined by it is not finite dime…