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3875-magma: magma code to support a paper by Chayet & Garibaldi

The code in this repo is meant to be run in Magma. For an example, see the file "example.magma".

The files you may want to call as a consumer of this repo are:

  • main.magma: Given a Killing-Cartan type (a string KC) and a field F, construct an algebra A, which is the algebra constructed from a simple algebraic group of type key over the field F in the paper "A class of continuous non-associative algebras arising from algebraic groups including E8" at https://arxiv.org/abs/2005.07618
  • nonassoc-identities.magma: can be used to look for linear dependencies among monomials of up to a chosen degree.
  • osborn.magma: the procedure check_PIs tests for a variety of polynomial identities and asks whether they might hold for a given algebra A.

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Magma code to illustrate the paper "A class of continuous non-associative algebras arising from algebraic groups including E8" by Maurice Chayet and Skip Garibaldi

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