Re: [sage-devel] Operator Product Expansions in Lie conformal algebras

['Reimundo Heluani' via sage-devel]

There was a very large PR with a full implementation of vertex operator algebras including some non-linearly generated. It got caught in review, then the pandemic and then the birth of a baby in the middle of it. That PR got broken into several pieces, some for LCAs, another for vertex algebras, then another for examples and another with the main application I had at the time for computing classical limits and Poisson vertex algebras. The rebasing mechanism and maintaining such a large PR for review was impossible https://github.com/sagemath/sage/issues/29610

On Oct 18, Sam DeHority wrote:

I don't think that compiles not even close. The biggest problem is that for any serious computation Python and the overhead of all the category formalism of Sage makes these packages useless. Mathematica Thielemann's package was orders of magnitude faster. I coded a C++ version of this that I was hoping to use as backend for sage. But adhering to the category formalism is not-trivial. R.

Hi,

Sage has a LieConformalAlgebras module which is able to compute OPEs, or
equivalently \lambda-brackets when those brackets close under OPEs. There
isn't, however, a "free" Lie Conformal Algebra which allows for OPEs of fields
build from normally ordered products using the noncommutative Wick formula.

Is there any interest in expanding the LieConformalAlgebras package to support
more general OPEs?

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