127 citations · 194 across the 19 of their papers we have counts for
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hep-th2018★ 5 cited
Nambu-Poisson Bracket on Superspace
Viktor Abramov
We propose an extension of n-ary Nambu-Poisson bracket to superspace R^{n|m} and construct by means of superdeterminant a family of Nambu-Poisson algebras of even degree functions,…
math.QA2018
Quantum super Nambu bracket of cubic supermatrices and 3-Lie superalgebra
Viktor Abramov
We construct the graded triple Lie commutator of cubic supermatrices, which we call the quantum super Nambu bracket of cubic supermatrices, and prove that it satisfies the graded F…
math.RA2018
Weil Algebra, 3-Lie Algebra and B.R.S. Algebra
Viktor Abramov
We consider the 3-Lie algebra induced by a Lie algebra with the help of an analog of a trace. We propose the extension of the Weil algebra of a Lie algebra to the Weil algebra of i…