Results 21 to 30 of about 8,355 (123)
Bi-invariant Schwartz multipliers and local solvability on nilpotent Lie groups [PDF]
Bulletin of the American Mathematical Society, 1988 Let N be a connected, simply connected nilpotent Lie group, with Lie algebra \({\mathcal N}\). Define the Schwartz space \({\mathcal S}(N)\) of N by \(f\in {\mathcal S}(N)\) \(\Leftrightarrow\) \(f\circ \exp \in {\mathcal S}({\mathcal N})\), and let M\({\mathcal S}(N)\) denote the algebra of endomorphisms of \({\mathcal S}(N)\) that commute with ...
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On completeness of some pro-solvable Lie algebras
Filomat, 2023 In the paper we describe the derivations of two N-graded infinite-dimensional Lie algebras n1 and n2 which are the positive parts of the affine Kac-Moody algebras A(1) 1 and A(2) 2 , respectively.
K. Abdurasulov +3 more
semanticscholar +1 more source
Formality properties of finitely generated groups and Lie algebras
, 2019 We explore the graded and filtered formality properties of finitely generated groups by studying the various Lie algebras over a field of characteristic 0 attached to such groups, including the Malcev Lie algebra, the associated graded Lie algebra, the ...
Suciu, Alexander I., Wang, He
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Sub-riemannian geodesics on the three-dimensional solvable non-nilpotent lie group solv− [PDF]
Journal of Dynamical and Control Systems, 2012 In this paper we describe the geodesics of a left-invariant sub-Riemannian metric on the three-dimensional solvable Lie group $SOLV^-$.
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DISTAL ACTIONS OF AUTOMORPHISMS OF NILPOTENT GROUPS G ON SUBG AND APPLICATIONS TO LATTICES IN LIE GROUPS [PDF]
Glasgow Mathematical Journal, 2019 For a locally compact group G, we study the distality of the action of automorphisms T of G on SubG, the compact space of closed subgroups of G endowed with the Chabauty topology.
Rajdip Palit, R. Shah
semanticscholar +1 more source
Diophantine properties of nilpotent Lie groups
, 2014 A finitely generated subgroup {\Gamma} of a real Lie group G is said to be Diophantine if there is \beta > 0 such that non-trivial elements in the word ball B_\Gamma(n) centered at the identity never approach the identity of G closer than |B_{\Gamma} (n)|
Aka, Menny +3 more
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Singularity of the varieties of representations of lattices in solvable Lie groups [PDF]
, 2014 For a lattice $\Gamma$ of a simply connected solvable Lie group $G$, we describe the analytic germ in the variety of representations of $\Gamma$ at the trivial representation as an analytic germ which is linearly embedded in the analytic germ associated ...
H. Kasuya
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The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley +1 more source
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Bott-Chern cohomology of solvmanifolds
, 2017 We study conditions under which sub-complexes of a double complex of vector spaces allow to compute the Bott-Chern cohomology. We are especially aimed at studying the Bott-Chern cohomology of special classes of solvmanifolds, namely, complex ...
Angella, Daniele, Kasuya, Hisashi
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