nayana-c1.867c992ae9100904cc61c84591adf0f8f863e0387e30f0d0dbc86640e9f50a1a.en.train.364297

The task

What does the determinant of the matrix with respect to the simple roots a1,..., ag indicate in the construction of the Lie algebra gz of type Eg? A. The determinant being 1 indicates that the root datum is the unique semisimple one of type Eg up to conjugacy. B. The determinant being 1 indicates that the Lie algebra is adjoint. C. The determinant being 1 indicates that the Lie algebra is simply connected. D. The determinant being 1 indicates that the Lie algebra is orthogonal. Return only the single uppercase letter of the correct option.