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Operations and Identities in Tensor Algebra

Yu. Chernyakov·V. Dolotin
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Abstract

We define the class of non-decomposable $N$-ary operations in the mixed tensor algebra $\bigoplus\limits_{i,j=0}^\infty A_i^j$. 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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Yu. Chernyakov, V. Dolotin. 2005-01-29. Operations and Identities in Tensor Algebra. https://arxiv.org/abs/math/0501206

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