Operations and Identities in Tensor Algebra

Details Operations and Identities in Tensor Algebra Operations and Identities in Tensor Algebra

2005-01-13

arxiv.org/abs/math/0501206v3

Mathematics

Rings and Algebras

12 pages, 8 figures

Scientific paper

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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