It shows that ifis a simply connected Lie group,is a Lie group, and→ h is a homomorphism of the corresponding Lie algebras, then there is a unique Lie group homomorphism:→with() =. In particular, this implies simply connected Lie groups can be "classified" by their Lie algebras; that...
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4) simply connected covering Lie group 单连通覆盖李群 5) connected Lie group 连通李群 6) connected Lie subgroup 连通李子群 补充资料:过李群玉故居 【诗文】: 讦直上书难遇主,衔冤下世未成翁。 琴尊剑鹤谁将去,惟锁山斋一树风。 【注释】: ...
We characterize the left-invariant Riemannian metrics on each of the six unimodular simply connected 3-dimensional Lie groups which give rise to 3-, 4-, or 6-dimensional isometry groups. It turns out that this classification is independent of curvature properties. This is a preview of subscriptio...
Weak amenability and simply connected Lie groups 来自 学术范 喜欢 0 阅读量: 36 作者:Knudby,Soren 摘要: Following an approach of Ozawa, we show that sever 关键词: Mathematics - Group Theory Mathematics - Functional Analysis Mathematics - Operator Algebras ...
2) simply connected covering Lie group 单连通覆盖李群3) Simply Connected Cover Algorithm 单连通覆盖算法4) coverage connectivity 连通覆盖 1. Some interfaces were reserved in advance for research in areas such as robot avoidance,task distribution and coverage connectivity,and so on. 仿真系统预留...
摘要: I calculate characters of certain representations of loop groups based on non simply connected Lie groups. This gives a generalization of the Kac-Weyl character formula. 关键词: Mathematics - Representation Theory DOI: 10.1007/s00209-003-0629-5 被引量: 39 年份: 2004 收藏...
connected and simply connected simple Lie group with Lie algebra g. Let T ⊂ G be a maximal torus with Lie algebra t ⊂ g. By the roots of G we shall always mean its infinites- imal roots, namely the set R of linear forms α∈ it ∗ = Hom(t, iR) such that the subspace...
The K0 groups of simply connected semisimple algebraic groups are calculated. The triviality of the Chow groups CH1 and CH2 of such groups is obtained as a consequence. Bibliography: 14 titles. This is a preview of subscription content, log in via an institution to check access. Similar cont...
Let ? be a simply connected nilpotent Lie group with Lie Algebra ? and let τ be a contraction on ?. A probability measure μ on ? is strongly τ-decomposable iff it is representable as the limit of for some probability ν on ?. We show that such a limit exists if and only if ν...