-ring of the ring of polynomial. muEC::SFA – mu-EC library for symmetric functions on alphabets (package Combinat)
The muEC::SFA library provides functions to work with symmetric functions on different alphabets. It implements the so called structure of -ring of the ring of polynomial.
All defined bases are stored in the global variable muEC::SFA::SFABases; this is by default [e, h, p, m, s].
muEC::SFA::Pol2SfA – from the basis of monomials to SFA
muEC::SFA::Sf2SfA – from SYMF objects to SFA objects
muEC::SFA::SfA2Sf – from SFA objects to SYMF objects
muEC::SFA::SfA2TableVar – symmetric functions appearing in an expression
muEC::SFA::SfACollect – Collect and expand an symmetric function
muEC::SFA::SfAExpand – expands a SFA expression
muEC::SFA::SfAOmega – the Omega-automorphism
muEC::SFA::SfAVars – specifies valid variables in alphabets
muEC::SFA::ToeA – develops any symmetric function on the e-basis
muEC::SFA::TohA – develops any symmetric function on the h-basis
muEC::SFA::TomA – develops any symmetric function on the m-basis
muEC::SFA::TopA – develops any symmetric function on the p-basis
muEC::SFA::TosA – develops any symmetric function on the s-basis