next | previous | forward | backward | up | top | index | toc | Macaulay2 web site
GradedLieAlgebras :: innerDerLie

innerDerLie -- the derivation defined by left Lie multiplication by a LieElement

Synopsis

Description

i1 : L = lieAlgebra{a,b}

o1 = L

o1 : LieAlgebra
i2 : d=innerDerLie a a b

o2 = d

o2 : DerLie
i3 : peekLie d

o3 = a => (a a b a)
     b => (b a b a)
     maplie => id
     sign => 0
     weight => {3, 0}
     sourceLie => L
     targetLie => L
i4 : (a a b) a

o4 = (a a b a)

o4 : L
i5 : (a a b) b

o5 = (b a b a)

o5 : L

See also

Ways to use innerDerLie :