Generalized Weyl algebra (source code)

= Generalized Weyl algebra
{title2=$D(\sigma,t)$}

For a ring $D$, an automorphism $\sigma$ and central $t$, adjoin $X,Y$ with $Xd=\sigma(d)X$, $Yd=\sigma^{-1}(d)Y$, $YX=t$ and $XY=\sigma(t)$. This construction includes <Weyl algebras> and rank-one <universal enveloping algebras>.