An alternating planar algebra is a mathematical structure that arises in the study of planar algebras, a concept introduced by Vaughan Jones in the context of knot theory and operator algebras. Planar algebras are a combinatorial framework that allows for the abstract representation of algebraic structures using diagrams drawn on the plane. They generalize the notion of tensor products and can describe a variety of algebraic objects, including link invariants, quantum groups, and more.
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