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Operations and Identities in Tensor Algebra

Yu. Chernyakov, V. Dolotin

math.RAarXiv:math/0501206

Abstract

We define the class of non-decomposable N-ary operations in the mixed tensor algebra i,j=0∞ Aij. There are higher Jacobi-like identities for (binary) deformed matrix commutator and a 3-ary operation which is non-decomposable into binary ones.

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