Results 51 to 60 of about 107,381 (262)

Fixed Points of Local Actions of Lie Groups on Real and Complex 2-Manifolds

Axioms, 2015
I discuss old and new results on fixed points of local actions by Lie groups G on real and complex 2-manifolds, and zero sets of Lie algebras of vector fields. Results of E. Lima, J. Plante and C. Bonatti are reviewed.
Morris W. Hirsch
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

Solvable Lie algebras are not that hypo

, 2010
We study a type of left-invariant structure on Lie groups, or equivalently on Lie algebras. We introduce obstructions to the existence of a hypo structure, namely the 5-dimensional geometry of hypersurfaces in manifolds with holonomy SU(3). The choice of
A Diatta, D Conti, D Conti, Diego Conti, F Schulte-Hengesbach, José A. Santisteban, LC Andrés de, Marisa Fernández, P Basarab-Horwath, S Chiossi, S Chiossi   +10 more
core   +1 more source

Lie groups and Lie algebras

, 2022
These are expanded notes of a two-semester course on Lie groups and Lie algebras given by the author at MIT in 2020/2021.
openaire   +2 more sources

Existentially closed structures and some embedding theorems [PDF]

, 2014
Using the notion of existentially closed structures, we obtain embedding theorems for groups and Lie algebras. We also prove the existence of some groups and Lie algebras with prescribed properties.Comment: 14 pages, 2 new sections are added, some ...
Shahryari, M.
core  

Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]

, 2015
In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Geir Bogfjellmo, R. Dahmen, Alexander Schmeding   +2 more
semanticscholar   +1 more source

On Poisson (2-3)-algebras which are finite-dimensional over the center

Researches in Mathematics
One of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group $G/\zeta(G)$ of a group $G$ is finite, then its derived subgroup $[G,G]$ is also finite.
P.Ye. Minaiev, O.O. Pypka, I.V. Shyshenko   +2 more
doaj   +1 more source

Transformation groups on real plane and their differential invariants

International Journal of Mathematics and Mathematical Sciences, 2006
Complete sets of bases of differential invariants, operators of invariant differentiation, and Lie determinants of continuous transformation groups acting on the real plane are constructed.
Maryna O. Nesterenko
doaj   +1 more source

Semi-direct products of Lie algebras and their invariants

, 2007
The goal of this paper is to extend the standard invariant-theoretic design, well-developed in the reductive case, to the setting of representation of certain non-reductive groups. This concerns the following notions and results: the existence of generic
Panyushev, Dmitri I.
core   +1 more source

Physical constraints on quantum deformations of spacetime symmetries

Nuclear Physics B, 2018
In this work we study the deformations into Lie bialgebras of the three relativistic Lie algebras: de Sitter, Anti-de Sitter and Poincaré, which describe the symmetries of the three maximally symmetric spacetimes. These algebras represent the centerpiece
Flavio Mercati, Matteo Sergola
doaj   +1 more source