The construction and deformation of Novikov H-pseudoalgebras.

In this paper, we are devoted to constructing a large number of Novikov H-pseudoalgebras from commutative associative (H-pseudo)algebras with (H-)derivations, infinitesimal H-pseudobialgebras with H-derivations and Novikov (H-pseudo)algebras with Rota-Baxter (H-)operators. Meanwhile, the relationship between Novikov H-pseudoalgebras and Lie H-pseudoalgebras is established. Furthermore, we develop the 1-parameter formal deformation theory of Novikov H-pseudoalgebras and characterize it in terms of cohomology. [ABSTRACT FROM AUTHOR]