Operations and Identities in Tensor Algebra

2005/01/13 by Yu. B. Chernyakov, Yu. Chernyakov, Chernyakov, Yu. +2
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Geometric and Algebraic Topology #Rings and Algebras (math.RA) #math.CT #math.RA

paper · pdf · doi:10.48550/arxiv.math/0501206

12 pages, 8 figures

openalex publication_date 2005/01/13 · arxiv created 2005/01/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define the class of non-decomposable N-ary operations in the mixed tensor algebra \bigoplus_i,j=0^∞ 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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