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GradedLieAlgebras :: lieAlgebra(...,Signs=>...)

lieAlgebra(...,Signs=>...) -- optional argument for lieAlgebra

Synopsis

Description

This is an option to tell lieAlgebra to assign the given "signs" to the generators, which are either 0 (even) or 1 (odd). If the option is given the value 1, then all generators will be odd. The default value is that all generators are even. The signs affect the axioms of a Lie superalgebra, see LieAlgebra. Use sign to compute the sign of an arbitrary homogeneous Lie expression.

i1 : describe lieAlgebra{a,b}

o1 = generators => {a, b}
     Weights => {{1, 0}, {1, 0}}
     Signs => {0, 0}
     ideal => {}
     ambient => LieAlgebra{...10...}
     diff => {}
     Field => QQ
     computedDegree => 0
i2 : describe lieAlgebra({a,b},Signs=>{1,0})

o2 = generators => {a, b}
     Weights => {{1, 0}, {1, 0}}
     Signs => {1, 0}
     ideal => {}
     ambient => LieAlgebra{...10...}
     diff => {}
     Field => QQ
     computedDegree => 0
i3 : describe lieAlgebra({a,b},Signs=>1)

o3 = generators => {a, b}
     Weights => {{1, 0}, {1, 0}}
     Signs => {1, 1}
     ideal => {}
     ambient => LieAlgebra{...10...}
     diff => {}
     Field => QQ
     computedDegree => 0

Further information

See also

Functions with optional argument named Signs :