A package for Macaulay2 that constructs extensions of Lie algebras via exterior algebras
This package builds a graded algebra that equivariantly extends the Lie algebra sl_n via the non-zero graded piece of the exterior algebra by defining the bracket products. Constructs matrix representations of adjoint operators. Computes ranks of blocks coming from the grading.", Keywords => {"Lie Algebras, Jordan Decomposition, Tensor invariants
To interact with the package save the file somewhere on your machine. Then launch Macaulay M2 from the same directory. Then do this:
installPackage("ExteriorExtensions") viewHelp ExteriorExtensions
The help documents give several basic examples to try out.
Subsequent times when you start M2, do this (this doesn’t re-generate the examples). loadPackage ExteriorExtensions