Pseudographs
Pseudograph induced bases
The basis PseudographDeformBasis
can currently only be used for exterior and symmetric powers of the standard module of special orthogonal Lie algebras.
PBWDeformations.PseudographDeformBasis
— TypeConcrete subtype of DeformBasis
. Each element of the basis is induced by a pseudograph with two vertices and certain properties, which gets transformed to an arc diagram and then handled as in ArcDiagDeformBasis
. This process is due to [FM22].
Reverse direction
Given a basis element of an above basis, one can lookup all pseudographs that induce it (up to a scalar). See lookup_data
for more details.