LieTypes : Table of Contents
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LieTypes -- Common types for Lie groups and Lie algebras
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adams -- Computes the action of the nth Adams operator on a Lie algebra module
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branchingRule -- A Lie algebra module viewed as a module over a Lie subalgebra
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cartanMatrix -- Provide the Cartan matrix of a simple Lie algebra
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casimirScalar -- computes the scalar by which the Casimir operator acts on an irreducible Lie algebra module
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character -- Computes the character of a Lie algebra module
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dim(LieAlgebraModule) -- computes the dimension of a Lie algebra module as a vector space over the ground field
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dynkinDiagram -- Provide the Dynkin diagram of a simple Lie algebra
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fusionProduct -- computes the multiplicities of irreducibles in the decomposition of the fusion product of U and V
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highestRoot -- returns the highest root of a simple Lie algebra
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isIrreducible -- Whether a Lie algebra module is irreducible or not
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killingForm -- computes the scaled Killing form applied to two weights
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positiveRoots -- returns the positive (co)roots of a simple Lie algebra
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qdim -- Compute principal specialization of character or quantum dimension
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simpleRoots -- returns the simple roots of a simple Lie algebra
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weightDiagram -- computes the weights in a Lie algebra module and their multiplicities
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weylAlcove -- the dominant integral weights of level less than or equal to l