Nghĩa của từ lie algebra bằng Tiếng Việt

@Chuyên ngành kỹ thuật
@Lĩnh vực: toán & tin
-đại số Lie
@Chuyên ngành kỹ thuật
@Lĩnh vực: toán & tin
-đại số Lie

Đặt câu có từ "lie algebra"

Dưới đây là những mẫu câu có chứa từ "lie algebra", trong bộ từ điển Từ điển Anh - Việt. Chúng ta có thể tham khảo những mẫu câu này để đặt câu trong tình huống cần đặt câu với từ lie algebra, hoặc tham khảo ngữ cảnh sử dụng từ lie algebra trong bộ từ điển Từ điển Anh - Việt

1. The standard Bracketings of these words form a basis of the Lie algebra g

2. A Lie algebra is "simple" if it has no non-trivial ideals and is not abelian.

3. Most of the time, obtaining the Lie algebra governing the given deformation problem can be difficult.

4. If in addition the bracket is alternating ( = 0) then the Leibniz algebra is a Lie algebra.

5. The MIC–Kepler system is studied via the Milshtein and Strakhovenko variant of the so(2,1) Lie algebra.

6. The existence of a bi-invariant Riemannian metric is stronger than that of a pseudo-Riemannian metric, and implies that the Lie algebra is the Lie algebra of a compact Lie group; conversely, any compact (or abelian) Lie group has such a Riemannian metric.

7. When the group is a Lie group, the Lie bracket in its Lie algebra is an infinitesimal version of the group Commutator

8. We make explicit the structure of certain derivations of a complex Lie algebra with Abelian radical and also consider the real case.

9. This established a geometric description of the entire category of representations of the Lie algebra, by "spreading out" representations as geometric objects living on the flag variety.

10. But one must always be careful to distinguish (the first order treatment of) these infinitesimal rotation matrices from both finite rotation matrices and from Lie algebra elements.

11. We define operators associated with the classical transformations of the Galilei group, i.e., translations, boosts, and rotations and show their commutators obey the Lie algebra of the Galilei group.

12. Lie Algebras are closely related to Lie groups, which are groups that are also smooth manifolds: any Lie group gives rise to a Lie algebra, which is its tangent space at the identity

13. Although the theory of Lie Algebras doesn’t require an algebraic closed scalar field – and many real Lie Algebras are important – it is more than convenient as soon as a Lie algebra is a matrix algebra, i.e

14. That is, the geometry of a contact Fano manifold can be used to construct various other algebraic notions such as the Killing form (symmetric bilinear form), the Lie algebra grading, and some part of the Lie bracket.

15. Lothaire [4] and Reutenauer [6] both demonstrate that the set of standard Bracketings of all Lyndon words in Lk(n) is a basis for the nth homogeneous component of the free Lie algebra over an alphabet of size k

16. The study of logarithms of matrices leads to Lie theory since when a matrix has a logarithm then it is in a Lie group and the logarithm is the corresponding element of the vector space of the Lie algebra.

17. These algebras form a generalization of finite-dimensional semisimple Lie algebras, and many properties related to the structure of a Lie algebra such as its root system, irreducible representations, and connection to flag manifolds have natural analogues in the Kac–Moody setting.