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# `SP` - library for simple and double Schubert polynomials

## Table of contents

1. The library `muEC::SP`

1. `NewtonInterp` - Newton interpolation formula
2. `Sp2TableVar` - variable set for the SP package
3. `SpScalarPol` - scalar product on polynomials
4. `SpSpecialize` - specializes a set of variables
5. `TablePe` - table of the Pe-basis
6. `TableX` - table of all Schubert polynomials
7. `TableXX` - table of all double Schubert polynomials
8. `TableY` - table of all Schubert polynomials
9. `TableYY` - table of all double Schubert polynomials
10. `ToPe` - converts any expression to the Pe-basis
11. `ToX` - converts any expression to the X Schubert basis
12. `ToXX` - converts any expression to the XX Schubert basis
13. `ToY` - converts any expression to the Y Schubert basis
14. `ToYY` - converts any expression to the YY Schubert basis
15. `Tox` - expresses any expression in the basis of monomials
16. `X2Dim` - specialization in X Schubert basis
17. `x2X` - from the basis of monomials to X Schubert basis
18. `x2XX` - from the basis of monomials to XX Schubert basis

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MuPAD Combinat, an open source algebraic combinatorics package