Results 21 to 30 of about 5,668,334 (196)
On Degenerate 3-(α, δ)-Sasakian Manifolds
Complex Manifolds, 2022 We propose a new method to construct degenerate 3-(α, δ)-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogeneous degenerate 3-(α, δ)-Sasakian manifolds and prove that no non-trivial ...
Goertsches Oliver +2 more
doaj +1 more source
Applications of Lie methods to computations with polycyclic groups [PDF]
, 2008 In this thesis we demonstrate the algorithmic usefulness of the so-called Mal'cev correspondence for computations with infinite polycyclic groups.
Assmann, Björn
core +2 more sources
Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]
, 2006 We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kuttler, J +8 more
core +1 more source
Journal of Pure and Applied Algebra, 1985 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Levin, Frank, Sehgal, Sudarshan
openaire +2 more sources
Compact groups with countable Engel sinks
Bulletin of Mathematical Sciences, 2021 An Engel sink of an element g of a group G is a set ℰ(g) such that for every x ∈ G all sufficiently long commutators [...[[x,g],g],…,g] belong to ℰ(g).
E. I. Khukhro, P. Shumyatsky
doaj +1 more source
Quiver theories and formulae for nilpotent orbits of Exceptional algebras
Journal of High Energy Physics, 2017 We treat the topic of the closures of the nilpotent orbits of the Lie algebras of Exceptional groups through their descriptions as moduli spaces, in terms of Hilbert series and the highest weight generating functions for their representation content.
Amihay Hanany, Rudolph Kalveks
doaj +1 more source
Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces
Special Matrices, 2021 We introduce most of the concepts for q-Lie algebras in a way independent of the base field K. Again it turns out that we can keep the same Lie algebra with a small modification.
Ernst Thomas
doaj +1 more source
Group algebras and Lie nilpotence
Journal of Algebra, 2013 Let \(F\) be a field of characteristic zero or odd prime characteristic \(p\), \(G\) a group, \(FG\) the group algebra. The authors continue their research on the properties of symmetric and skew-symmetric elements of \(FG\) with respect to an algebra involution \(*\) induced by an involution on the group, communicated in a series of papers, recent ...
GIAMBRUNO, Antonino +2 more
openaire +4 more sources
Ricci-flat and Einstein pseudoriemannian nilmanifolds
Complex Manifolds, 2019 This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group.
Conti Diego, Rossi Federico A.
doaj +1 more source
Integrability properties of quasi-regular representations of $NA$ groups
Comptes Rendus. Mathématique, 2022 Let $G = N \rtimes A$, where $N$ is a graded Lie group and $A = \mathbb{R}^+$ acts on $N$ via homogeneous dilations. The quasi-regular representation $\pi = \mathrm{ind}_A^G (1)$ of $G$ can be realised to act on $L^2 (N)$. It is shown that for a class of
van Velthoven, Jordy Timo
doaj +1 more source