We present the implementation of the Littlewood-Richardson rule in LiE. We describe the mathematical problem it applies to, formulate the rule, and indicate a proof. In a brief historical sketch we indicate some early formulations and partial proofs. We derive a formulation of the rule that can be implemented very efficiently.

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CWI
Modelling, Analysis and Simulation [MAS]

van Leeuwen, M.A.A. (1997). The Littlewood-Richardson rule, theory and implementation. Modelling, Analysis and Simulation [MAS]. CWI.