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math.RT2015
On -ary Lie algebras of type
Elizaveta Vishnyakova
These notes are devoted to the multiple generalization of a Lie algebra introduced by A.M.Vinogradov and M.M.Vinogradov. We compare definitions of such algebras in the usual and in…
math.DG2015
Vector fields on -flag supermanifolds
Elizaveta Vishnyakova
The main result of this paper is the computation of the Lie superalgebras of holomorphic vector fields on complex flag supermanifolds, introduced by Yu.I.Manin. We prove that with…