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Additional file 5. Hepatic bile acid metabolism gene expression correlated with serum liver chemistries.

Additional file 3. Hepatic unfolded protein response gene expression correlated with serum AST.

Additional file 4. Hepatic unfolded protein response gene expression correlated with serum total bilirubin.

Additional file 6. Hepatic inflammation gene expression correlated with serum liver chemistries.

Additional file 1. Individual patient characteristics.

Additional file 2. Hepatic unfolded protein response gene expression correlated with serum ALT.

We present an extremely elementary construction of the simple Lie algebras over C in all of their minuscule representations, using the vertices of various polytopes. The construction itself requires no complicated combinatorics and essentially no Lie theory other than the definition of a Lie algebra; in fact, the Lie algebras themselves appear as by-products of the construction.