Every simple commutative algebra in the Delannoy category Rep(G), for G = Aut(R,<), is isomorphic to the Schwartz algebra C(R^(n)) of functions on ordered n-tuples; tensor-product relative versions (Theorems B and C) also hold.
Pre-Galois categories and Fr\"aiss\'e's theorem
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Classification of simple commutative algebras in the Delannoy category
Every simple commutative algebra in the Delannoy category Rep(G), for G = Aut(R,<), is isomorphic to the Schwartz algebra C(R^(n)) of functions on ordered n-tuples; tensor-product relative versions (Theorems B and C) also hold.