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# `PART` - library for partitions

## Table of contents

1. The library `muEC::PART`

1. `Border2Part` - partition associated to a given border
2. `CompPart` - compares two partitions
3. `Diagonal2Part` - partition from a list of diagonals
4. `Exp2Part` - partition from its exponential notation
5. `Frob2Part` - from Frobenius notation to standard notation for partitions
6. `ListPartIn` - list of partitions contained into a given partition or between two given partitions
7. `ListPart` - list of partitions of a given weight
8. `ListSkewDiag` - list of skew diagrams
9. `PCore2Part` - a partition from its `p`-core and `p`-quotient
10. `Part2Border` - border of a given partition
11. `Part2Conjugate` - conjugates a partition
12. `Part2Diagonal` - diagonals of the given partition
13. `Part2Exp` - multiplicities of parts in a given partition
14. `Part2Frob` - from standard partition notation to Frobenius notation
15. `Part2ListHook` - calculates the list of hook lengths
16. `Part2Mat` - a planar representation of a given partition
17. `Part2PCore` - `p`-core and `p`-quotient of a partition
18. `PartOrderMat` - order matrix on partitions
19. `SkewPart2Mat` - a planar representation of a skew partition
20. `SplitPart` - splits a partition into several ones

[Contents]

MuPAD Combinat, an open source algebraic combinatorics package