ConnectionMatrices : Table of Contents

• ConnectionMatrices -- connection matrices and integrable systems from D-ideals
  • normalForm -- computes the normal form within the rational Weyl algebra
  • standardMonomials -- computes the standard monomials for a $D_n$-ideal
  • baseFractionField -- extracts the fraction field of the base polynomial ring of a Weyl algebra
  • pfaffianSystem -- computes the Pfaffian system of a $D_n$-ideal $I$ for a chosen basis
  • connectionForm -- computes the connection matrix
  • gaugeMatrix -- computes the base change over the field of rational functions
  • gaugeTransform -- computes the gauge transform of a system of connection matrices
  • isEpsilonFactorized -- checks whether a system of connection matrices is in $\epsilon$-factorized form
  • isIntegrable -- checks whether a list of matrices fulfills the integrability conditions
  • Cosmological correlator for the 2-site chain
  • Massless one-loop triangle Feynman diagram
  • Gauss' hypergeometric function