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math.RA2025
Nijenhuis operators and twisted -operators on Nambu-Poisson algebras
Apurba Das, Fattoum Harrathi, Sami Mabrouk
A ternary Nambu-Poisson algebra (which we call a Nambu-Poisson algebra in the paper) is the underlying algebraic structure of Nambu-Poisson manifolds of order that appeared in…
math.RA2025
Bialgebras, Manin triples of Malcev-Poisson algebras and post-Malcev-Poisson algebras
Fattoum Harrathi, Sami Mabrouk, Nasser Nawel +1
A Malcev-Poisson algebra is a Malcev algebra together with a commutative associative algebra structure related by a Leibniz rule. In this paper, we introduce the notion of Malcev-P…