Weyl algebra
= Weyl algebra
{wiki=Weyl_algebra}
The Weyl algebra, typically denoted \\( A_n \\), is a type of non-commutative algebra that plays a significant role in various areas of mathematics, particularly in algebraic geometry, representation theory, and mathematical physics. Specifically, the Weyl algebra is defined over a field (often the field of complex numbers or rational numbers) and is generated by polynomial rings in several variables subject to certain relations.