The main objects of the paper under review (which can be viewed as a continuation of P. Gille [Duke Math. J. 114, No. 2, 307-328 (2002; Zbl 1013.20040)]) are elements g of finite order n in an absolutely almost simple simply connected group G defined over a field k of ...
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...
Given a simply connected solvable Lie group G, there always exists a NIL-affine action ρ:G→Aff(H) on a nilpotent Lie group H such that G acts simply transitively. The question whether this is always possible for H=Rn abelian was known as Milnor’s question, with a negative answer due...
Related to simply connected:simply connected region adj. Of, being, or characterized by the property of a surface or other space such that any closed curve within it can be continuously shrunk to a point without leaving the space. American Heritage® Dictionary of the English Language, Fifth ...
4) connected algebraic group 连通代数群 5) Basic connected algebras 连通基本代数 例句>> 6) connected graded algebra 连通分次代数 补充资料:单连通和多(复)连通超导体(simplyandmultiplyconnectedsuperconductors) 单连通和多(复)连通超导体(simplyandmultiplyconnectedsuperconductors) ...
The aim of this paper is to give a description of simply connected abelian locally Nash groups of dimension $2$. Along the way we prove that, for any $n\\geq 2$, a locally Nash structure over $(\\mathbb{R}^n,+)$ can be characterized via a meromorphic map admitting an algebraic ...
Let G be the real points of a connected reductive algebraic group. Characters of admissible representations of G...J. Adams and P. Trapa. Duality for nonlinear simply laced groups. preprint, http://www.math.umd.edu/∼jda/preprints/duality.pdf...
simply connected algebraic groupLet k be a field of characteristic not 2 and G a k-split simply connected simple algebraic group. We compute in this work the first Zariski cohomology group of the Witt sheaf over G.Stefan GilleInternational Conference on the Algebraic and Arithmetic Theory of ...
Indeed we shall introduce corresponding algebraic groups and finite groups for each Lie type (to indecomposable root systems). Knowledge of the universal group implies knowledge of the related simply connected and adjoint groups; in certain respects the universal group even appears to be better ...
Semisimple algebraic groupsSuslin (singular) homologyLet k be a perfect field and G be a k-split simply connected semisimple algebraic group. Denote K 2 M the second unramified Milnor K-theory sheaf (in the Nisnevich topology). We prove in this article that the first Suslin (singular) ...