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LieTypes :: simpleLieAlgebra

simpleLieAlgebra -- construct a simple Lie algebra



The classification of simple Lie algebras over the complex numbers is well known. There are four infinite families (types A, B, C, D) corresponding to the Lie algebras $sl(n+1,\mathbb{C})$, $so(2n+1,\mathbb{C})$, $sp(2n,\mathbb{C})$, $so(2n,\mathbb{C})$ respectively, and five exceptional simple Lie algebras, E6, E7, E8, F4, G2.

i1 : simpleLieAlgebra("A",1)

o1 = Simple Lie algebra, type A, rank 1

o1 : LieAlgebra
i2 : simpleLieAlgebra("E",6)

o2 = Simple Lie algebra, type E, rank 6

o2 : LieAlgebra

Ways to use simpleLieAlgebra :

For the programmer

The object simpleLieAlgebra is a method function.