adjoint 依附图; 伴随 lie v. 1.[I][~ (to sb) (about sth)]说谎 2.[I] 给人以假象,不可信 3.[I] 躺,平卧 4.[I](指物)平放 5.[I] 在、留在或保持在某种状态 6 algebra n.[U] 代数 lie in n. 懒觉,躺卧示威 self adjoint 自伴的 lie detector n. 测谎器 lie abed n. ...
Zelmanov proves that PI-Lie algebras with an algebraic adjoint representation over a field of characteristic zero are locally finite-dimensional. In particular, a Lie algebra (over a field of characteristic zero) whose adjoint representation is algebraic of bounded degree is locally finite-dimensional....
Lie Algebra 是 Lie Group 的 Smooth Manifold 在 Lie Group 的 Identity element 处的 tangent space,是一个 matrix space。如 SO(3) 对 t 的导数是一个 skew-symmetric matrix,这个 skew-symmetric matrix 就是 lie algebra。而角速度ω∈R3ω∈R3并不是 lie algebra,skew-symmetric matrix 与R3R3同构(Hom...
2) adjoint group of a Lie algebra 李代数伴随群 3) adjoint algebra 伴随代数 1. The purpose of this papar is to study a new subalgebra of regular FI-algebras, we shall point out that an essential connection exists betweenadjoint algebras of regular FI-algebra and Boolean algebras. ...
一个Lie代数 \mathfrak{g} 的导代数(derived algebra) \mathfrak{g}'=[\mathfrak{g},\mathfrak{g}] 显然是它的一个理想。类似这样的定义可以迭代下去,例如定义子代数序列 \left\{\mathfrak{g}^{\{i\}}\right\} 为: \begin{aligned} &\mathfrak{g}^{\{1\}}=\mathfrak{g}^{\prime}\\ &\...
Let G be a p-adic Lie group with Lie algebra and Ad: G鈫扐ut() be the adjoint representation. It was claimed in the literature that the kernel Kker(Ad) always has an abelian open normal subgroup. We show by means of a counterexample that this assertion is false. It can even happen...
1.The fundamental theory of Lie groups and Lie algebras on robotics is expatiated in brief.对李群李代数方法在机器人中的应用做了基本的阐述,澄清了一些基本概念。 2)Lie group and Lie algebras李群与李代数 3)Lie algebra of an algebraic group代数群的李代数 4)adjoint group of a Lie algebra李代数...
This paper describes supersymmetric quantum mechanical models (D) of D fermions invariant under the adjoint action of a compact simple Lie algebra of dimension D. It determines the spectrum, ground state properties and the full Fock space structure of such interacting models. It also discusses hidde...
Quantum algebras and Lie groups Lie groups and quantum algebras are connected through their common universal enveloping algebra. The adjoint action of Lie group on its algebra is naturall... E Celeghini - Springer US 被引量: 72发表: 1992年 ...
we present a complete classification of group symmetries and obtain the Lagrangian for the equation. Our results include the classification of the Lie algebra and the optimal system, providing a thorough understanding of the equation’s underlying structure. These contributions serve to enhance the curr...