Antipode
= Antipode
{title2=$S$}
The convolution inverse $S$ of the identity on a <bialgebra>: $m(S\otimes1)\Delta=j\varepsilon=m(1\otimes S)\Delta$. Existence makes the <bialgebra> a <Hopf algebra>; $S$ reverses multiplication.
= Antipode
{title2=$S$}
The convolution inverse $S$ of the identity on a <bialgebra>: $m(S\otimes1)\Delta=j\varepsilon=m(1\otimes S)\Delta$. Existence makes the <bialgebra> a <Hopf algebra>; $S$ reverses multiplication.