Results 11 to 20 of about 8,355 (123)

Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups [PDF]

, 2010
In this work we investigate solvable and nilpotent Lie groups with special metrics. The metrics of interest are left-invariant Einstein and algebraic Ricci soliton metrics.
M. Jablonski
semanticscholar   +3 more sources

Simply transitive NIL-affine actions of solvable Lie groups [PDF]

Forum mathematicum, 2020
Every simply connected and connected solvable Lie group 𝐺 admits a simply transitive action on a nilpotent Lie group 𝐻 via affine transformations.
Jonas Der'e, M. Origlia
semanticscholar   +1 more source

TOPOLOGICAL LOOPS HAVING SOLVABLE INDECOMPOSABLE LIE GROUPS AS THEIR MULTIPLICATION GROUPS

Transformation groups, 2021
We prove that the solvability of the multiplication group Mult( L ) of a connected simply connected topological loop L of dimension three forces that L is classically solvable. Moreover, L is congruence solvable if and only if either L has a non-discrete
Á. Figula, A. Al-Abayechi
semanticscholar   +2 more sources

Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent [PDF]

, 2015
We consider factorizations of a finite group $G$ into conjugate subgroups, $G=A^{x_{1}}\cdots A^{x_{k}}$ for $A\leq G$ and $x_{1},\ldots ,x_{k}\in G$, where $A$ is nilpotent or solvable.
Garonzi, Martino, Levy, Dan, Maróti, Attila, Simion, Iulian I.   +3 more
core   +2 more sources

Solvable Lie Algebras in Type IIA, Type IIB and M Theories [PDF]

, 1996
We study some applications of solvable Lie algebras in type IIA, type IIB and M theories. RR and NS generators find a natural geometric interpretation in this framework.
Alekseevskii, Castellani, Castellani, Cecotti, de Wit, Ferrara, Ferrara, Fré, Gilmore, Green, Günaydin, Harvey, Helgason, Hull, Hull, Hull, Hull, Humphreys, Julia, Klemm, Laura Andrianopoli, Lu, Lu, Mario Trigiante, Pernici, Pietro Fré, Pilch, Polchinski, Riccardo D'Auria, Ruben Minasian, Salam, Salam, Sen, Sen, Sergio Ferrara, Townsend, Townsend, Warner, Witten, Witten   +39 more
core   +3 more sources

Criteria for solvability of left invariant operators on nilpotent Lie groups [PDF]

Transactions of the American Mathematical Society, 1983
We define a special nilpotent Lie group N N to be one which has a
openaire   +1 more source

Frobenius groups of automorphisms and their fixed points [PDF]

, 2010
Suppose that a finite group $G$ admits a Frobenius group of automorphisms $FH$ with kernel $F$ and complement $H$ such that the fixed-point subgroup of $F$ is trivial: $C_G(F)=1$.
Belyaev V. V., Dade E. C., Evgeny Khukhro, Hall P., Khukhro E. I., Kreknin V. A., Kuzucuoglu M., Lazard M., Mal’cev A. I., Natalia Makarenko, Pavel Shumyatsky   +10 more
core   +2 more sources

L^p-Fourier transforms on nilpotent Lie groups and solvable Lie groups acting on Siegel domains [PDF]

Pacific Journal of Mathematics, 1992
L'auteur précise l'inégalité de Hausdorff-Young sur la norme des transformées de Fourier des fonctions de \(L^ p\) dans le cas des groupes de Lie nilpotent et dans celui des groupes d'automorphismes affines sur un domaine de Siegel.
openaire   +2 more sources

Algebraic Anosov actions of Nilpotent Lie groups [PDF]

, 2012
In this paper we classify algebraic Anosov actions of nilpotent Lie groups on closed manifolds, extending the previous results by P. Tomter. We show that they are all nil-suspensions over either suspensions of Anosov actions of Z^k on nilmanifolds, or ...
Barbot, Brin, Brin, Carlos Maquera, Fisher, Franks, Ghys, Humphreys, Im Hof, Kalinin, Katok, Katok, Manning, Onishchik, Onishchik, Pugh, Raghunathan, Tavarez, Thierry Barbot, Tomter, Tomter, Wu   +21 more
core   +4 more sources

Growth in solvable subgroups of GL_r(Z/pZ) [PDF]

, 2013
Let $K=Z/pZ$ and let $A$ be a subset of $\GL_r(K)$ such that $$ is solvable. We reduce the study of the growth of $A$ under the group operation to the nilpotent setting.
A Borel, A Borel, AI Malcev, D Fisher, E Breuillard, E Breuillard, E Breuillard, E Breuillard, E Hrushovski, GJ McNinch, HA Helfgott, HA Helfgott, Harald Andrés Helfgott, IZ Ruzsa, J Bourgain, J Bourgain, J Bourgain, J Bourgain, JE Olson, M-C Chang, Nick Gill, O Dinai, P Varju, T Sanders, T Tao, T Tao   +25 more
core   +3 more sources