例句與造句

1. Split Lie algebras have essentially the same representation theory as semsimple Lie algebras over algebraically closed fields, for instance, the splitting Cartan subalgebra playing the same role as the Cartan subalgebra plays over algebraically closed fields.
2. An important class are splitting Cartan subalgebras : if a Lie algebra admits a splitting Cartan subalgebra \ mathfrak { h } then it is called " splittable, " and the pair ( \ mathfrak { g }, \ mathfrak { h } ) is called a split Lie algebra; over an algebraically closed field every semisimple Lie algebra is splittable.
3. Split Lie algebras are of interest both because they formalize the split real form of a complex Lie algebra, and because split semisimple Lie algebras ( more generally, split reductive Lie algebras ) over any field share many properties with semisimple Lie algebras over algebraically closed fields  having essentially the same representation theory, for instance  the splitting Cartan subalgebra playing the same role as the Cartan subalgebra plays over algebraically closed fields.
4. It's difficult to find splitting cartan subalgebra in a sentence. 用splitting cartan subalgebra造句挺難的