Hello all, Have finite-dimensional algebras (over QQ, say) been implemented in Sage? I mean an implementation where you can give any multiplication table and compute with the algebra. Or to give such an algebra as a sub-algebra of a matrix algebra (first computing the sub-algebra generated by given matrices...).
I only found sage/categories/finite_dimensional_algebras_with_basis.py which is just a category with essentially no code. I am considering to give "implement [1] in Sage" as a master thesis project (there exists a Magma implementation). This would require such functionality (or such functionality would be part of the project). [1] Gabrielle Nebe, Allan Steel, Recognition of division algebras, J. Algebra 322 (2009), 903--909. -- To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
