Conformal Envelopes of Novikov–Poisson Algebras
نویسندگان
چکیده
Abstract We prove that every Novikov–Poisson algebra over a field of zero characteristic can be embedded into commutative conformal with derivation. As corollary, we show commutator Gelfand–Dorfman obtained from is special, i.e., embeddable differential Poisson algebra.
منابع مشابه
Cohomology of Conformal Algebras
Introduction 2 1. Preliminaries on conformal algebras and modules 4 2. Basic definitions 9 3. Extensions and deformations 13 4. Homology 17 5. Exterior multiplication, contraction, and module structure 18 6. Cohomology of conformal algebras and their annihilation Lie algebras 19 6.1. Cohomology of the basic complex 19 6.2. Cohomology of the reduced complex 21 6.3. Cohomology of conformal algebr...
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ژورنال
عنوان ژورنال: Siberian Mathematical Journal
سال: 2023
ISSN: ['0037-4466', '1573-9260']
DOI: https://doi.org/10.1134/s0037446623030084