Free special Gelfand–Dorfman algebra

2023

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DOI 10.1142/s0219498825500057
Data confidence 70 medium
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Abstract

A Gelfand–Dorfman algebra is called special if it can be embedded into a differential Poisson algebra. We find a new basis of the free Novikov algebra. With its help, we construct the monomial basis of the free special Gelfand–Dorfman algebra.