Penrose graphical notation

In mathematics and physics, Penrose graphical notation or tensor diagram notation is a (usually handwritten) visual depiction of multilinear functions or tensors proposed by Roger Penrose.

Description

A diagram in the notation consists of several shapes linked together by lines.

The notation has been studied extensively by Predrag Cvitanović, who used it to classify the classical Lie groups.

It has also been generalized using representation theory to spin networks in physics, and with the presence of matrix groups to trace diagrams in linear algebra.

See also

• Abstract index notation
• Angular momentum diagrams (quantum mechanics)
• Braided monoidal category
• Categorical quantum mechanics uses tensor diagram notation
• Ricci calculus
• Spin networks
• Trace diagram

External links

• Penrose graphical notation @ Wikipedia.org