Ivan Kaygorodov
Sobolev Institute of Mathematics, Novosibirsk, Russia
General Poisson algebras.
April 25, 2012
Abstract: We consider some generalization of usual Poisson algebras, also known as general Poisson algebras, and prove some analogues of wellknown Theorems of free Poisson algebras. For example, we describe automorphisms and derivations of free general Poisson algebras with rank 2 and relations between Poisson dependent, polynomial dependent and left dependent over GP^e.