例句與造句

1. Important examples are linear algebraic groups over finite fields.
2. Lie theory is frequently built upon a study of the classical linear algebraic groups.
3. The counterexample of Nagata is a suitably constructed ring of invariants for the action of a linear algebraic group.
4. Affine group varieties are known as linear algebraic groups, since they can be embedded as subgroups of general linear groups.
5. Kolchin worked on differential algebra and its relation to differential equations, and founded the modern theory of linear algebraic groups.
6. It's difficult to find linear algebraic group in a sentence. 用linear algebraic group造句挺難的
7. But according to Chevalley's structure theorem any algebraic group is an extension of an abelian variety by a linear algebraic group.
8. Together with J .-P . Serre he is one of the cofounders of the theory of cohomological invariants of linear algebraic groups.
9. In the case of linear algebraic groups, the notions of complexification and real form have a natural description in the language of algebraic geometry.
10. It follows directly that every irreducible finite-dimensional representation of a connected and solvable linear algebraic group " G " has dimension one.
11. They arise as linear algebraic groups, that is, as subgroups of GL " n " defined by a finite number of equations.
12. He worked in algebraic topology, in the theory of Lie groups, and was one of the creators of the contemporary theory of linear algebraic groups.
13. In case " G " is a linear algebraic group, it is an affine algebraic variety in affine " N "-space.
14. The representation theory of linear algebraic groups and Lie groups extends these examples to infinite-dimensional groups, the latter being intimately related to Lie algebra representations.
15. In large measure due to the influence of Mumford, the subject of invariant theory is seen to encompass the theory of actions of linear algebraic groups on projective varieties.
16. For example, the closed connected subgroups " H " of a connected linear algebraic group " G " are in bijection with Lie subalgebras \ mathfrak h \ subset \ mathfrak g.
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