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# `SFA` - library for symmetric functions on different alphabets

## Table of contents

1. The library `muEC::SFA`

1. `Pol2SfA` - from the basis of monomials to SFA
2. `Sf2SfA` - from `SYMF` objects to `SFA` objects
3. `SfA2Sf` - from `SFA` objects to `SYMF` objects
4. `SfA2TableVar` - symmetric functions appearing in an expression
5. `SfACollect` - collects products that are on algebraic bases (`e, h, p`) and expands products on linear bases (`m, s`)
6. `SfAExpand` - expands a SFA expression
7. `SfAOmega` - applies the Omega-automorphism
8. `SfAVars` - specifies valid variables in alphabets
9. `ToeA` - develops any symmetric function on the `e`-basis
10. `TohA` - develops any symmetric function on the `h`-basis
11. `TomA` - develops any symmetric function on the `m`-basis
12. `TopA` - develops any symmetric function on the `p`-basis
13. `TosA` - develops any symmetric function on the `s`-basis

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MuPAD Combinat, an open source algebraic combinatorics package