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