Weyl algebra
Noun
Meaning
Weyl algebra (plural Weyl algebras)
(algebra) The ring of differential operators with polynomial coefficients (in one variable), namely expressions of the form
f
m
(
X
)
∂
X
m
+
f
m
−
1
(
X
)
∂
X
m
−
1
+
⋯
+
f
1
(
X
)
∂
X
+
f
0
(
X
)
{\displaystyle f_{m}(X)\partial _{X}^{m}+f_{m-1}(X)\partial _{X}^{m-1}+\cdots +f_{1}(X)\partial _{X}+f_{0}(X)}
.