| Résume||Given a commutative associative algebra A=Sym(V), where V is a vector space, the corresponding Weyl algebra W(A) is generated by A and partial derivatives in generators of A. In my talk I'll discuss how it is possible to generalize this notion (as well as that of the corresponding differential algebra) to some Noncommutative algebras.
Namely, I'll consider two cases: 1. A=U(gl(n)) and 2. A is a braided algebra, i.e. that arising from a braiding (a solution to the Quantum Yang-Baxter Equation).
Applications to Mathematical Physics will be given.|