The story
Named after Hermann Weyl, who introduced them to study the Heisenberg uncertainty principle in quantum mechanics.
Etymology from Wiktionary, CC BY-SA 4.0.
Weyl algebra
Today it means: The ring of differential operators with polynomial coefficients (in one variable), namely expressions of the form f_m(X)∂_Xᵐ+f_m-1(X)∂_Xᵐ⁻¹+⋯+f_1(X)∂_X+f_0(X). Full definition →