Tensor algebras and combinatorial parameters
نویسنده
چکیده
For any real inner product space V , let T (V ) denote its tensor algebra. We give a theorem giving conditions under which a real-valued algebra homomorphism from certain subalgebras of T (V ) can be extended to T (V ). The main applications are characterizations of combinatorial parameters by means of ‘reflection positivity’. The proof method follows mainly that of Szegedy [4], whose theorem is one of the applications. A main difference is that we do without Weyl’s First Fundamental Theorem. This makes it possible to extend the range of applications. For each nonnegative integer n, denote
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