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# LieDerivation \ List -- apply a derivation to every element in a list

- Operator: \
- Usage:
    `y = d\x`
- Inputs:
  - d, an instance of the type LieDerivation,
  - x, a list, the elements in $x$ belong to the source of $d$
- Outputs:
  - y, a list, the result of applying $d$ to every element in $x$

## Description

    i1 : L = lieAlgebra{a,b}

    o1 = L

    o1 : LieAlgebra

    i2 : d = euler L

    o2 = d

    o2 : LieDerivation

    i3 : d\basis(5,L)

    o3 = {5 (a a a b a), 5 (b a a b a), 5 (a b a b a), 5 (b b a b a), 5 (a b b b
         ------------------------------------------------------------------------
         a), 5 (b b b b a)}

    o3 : List

## Ways to use this method:

- LieDerivation \ List -- apply a derivation to every element in a list

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/GradedLieAlgebras/doc.m2:2782:0.