Results 31 to 40 of about 263 (173)
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if G = N × A is a connected, simply connected, nilpotent Lie group with an Abelian factor A ...
Amira Ghorbel, Hatem Hamrouni
doaj +1 more source
Quiver theories and formulae for Slodowy slices of classical algebras
Nuclear Physics B, 2019 We utilise SUSY quiver gauge theories to compute properties of Slodowy slices; these are spaces transverse to the nilpotent orbits of a Lie algebra g.
Santiago Cabrera +2 more
doaj +1 more source
Известия Иркутского государственного университета: Серия "Математика", 2019 In 1905 I.~Shur pointed out the largest dimension of commutative subgroups in the groups $SL(n,\mathbb{C})$ and proved that for $n>3$ such the subgroups are automorphic to each other.
F.M. Kirillova
doaj +1 more source
Complete classification of homogeneous structures on Lorentzian direct extensions of the Heisenberg group [PDF]
ریاضی و جامعهThe Heisenberg Lie group is one of the most famous and important Lie groups among the family of three dimensional Lie groups. The direct extension of this group to the fourth dimension was taken into consideration in the study of the nilpotent Lie ...
Amirhesam Zaeim +2 more
doaj +1 more source
Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, EarlyView.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
wiley +1 more source
Einstein nilpotent Lie groups [PDF]
Journal of Pure and Applied Algebra, 2019 We study the Ricci tensor of left-invariant pseudoriemannian metrics on Lie groups. For an appropriate class of Lie groups that contains nilpotent Lie groups, we introduce a variety with a natural $\mathrm{GL}(n,\mathbb{R})$ action, whose orbits parametrize Lie groups with a left-invariant metric; we show that the Ricci operator can be identified with ...
Conti, D, Rossi, FA
openaire +3 more sources
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
Classical analysis and nilpotent Lie groups [PDF]
, 2012 Expository article; to appear in Edizioni della Scuola Normale di ...
openaire +2 more sources
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
VARIETIES OF SIGNATURE TENSORS
Forum of Mathematics, Sigma, 2019 The signature of a parametric curve is a sequence of tensors whose entries are iterated integrals. This construction is central to the theory of rough paths in stochastic analysis. It is examined here through the lens of algebraic geometry.
CARLOS AMÉNDOLA +2 more
doaj +1 more source