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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
4
votes
Is Zariski closure of finitely generated matrix semigroup computable?
This problem has been solved (the answer is 'yes') in the paper "Polynomial Invariants for Affine Programs", by Ehud Hrushovski, Joël Ouaknine, Amaury Pouly, and James Worrell, published in the Procee …
10
votes
1
answer
350
views
Is Zariski closure of finitely generated matrix semigroup computable?
In general, can the Zariski closure of the semigroup of matrices $\langle M_1, \ldots, M_k \rangle$ be algorithmically computed (at least in theory)?
For this purpose I'm happy to assume the matrice …