Arc diagrams
Arc diagram induced bases
The basis ArcDiagDeformBasis can currently only be used for exterior and symmetric powers of the standard module of special orthogonal Lie algebras.
PBWDeformations.ArcDiagDeformBasis — Type
Concrete subtype of DeformBasis. Each element of the basis is induced by an arc diagram of a suitable size, which gets symmetrized and specialised to the given smash product. This process is due to [FM22].
Reverse direction
Given a basis element of an above basis, one can lookup all arc diagrams that induce it (up to a scalar).
PBWDeformations.lookup_params — Function
lookup_params(m::DeformationMap{T}, basis::ArcDiagBasedDeformBasis{ParamT, C, T}) where {T <: SmashProductLieElem{C}}Look up additional data that was used to generate the deformation map m in the basis basis. This can e.g. be an arc diagram or a pseudograph.