Acyclic Jacobi Diagrams

Mathematics – Quantum Algebra

Scientific paper

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18 pages, 7 figures. Refernces added. Section 2 rewritten. Proof of Theorem 1.1 rewritten. To appear in Kobe J. Math

Scientific paper

We propose a simple new combinatorial model to study spaces of acyclic Jacobi
diagrams, in which they are identified with algebras of words modulo
operations. This provides a starting point for a word-problem type
combinatorial investigation of such spaces, and provides fresh insights on
known results.

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