Keywords: Hopf algebra.svg en A commutative hexagon expressing all the axioms of a Hopf algebra own Ryan Reich 2009-04-29 File HopfAlgebra png Source code <pre> \documentclass article \usepackage amsmath amssymb nopageno \usepackageall xy \DeclareMathOperator \id id \begin document \begin equation \xymatrix C-1 5em R+2em H \otimes H \arrr S \otimes \id H \otimes H \ardr \nabla \\ H \arur \Delta \ardr_ \Delta \arrr \varepsilon K \arrr \eta H \\ H \otimes H \arrr_ \id \otimes S H \otimes H \arur_ \nabla \end equation \end document </pre> Commutative diagrams Images with LaTeX source code |