Results 31 to 40 of about 32,142 (201)
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. +10 more
core +2 more sources
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
Hypercomplex eight-dimensional nilpotent Lie groups
Journal of Pure and Applied Algebra, 2003 A general classification of nilpotent Lie algebras exists only in dimension \(\leq 7\). In this paper, the authors obtain a description of all \(8\)--dimensional nilpotent Lie algebras with hypercomplex structures. They prove that the existence of a hypercomplex structure implies strong restrictions on the Lie algebra.
Dotti, Isabel Graciela, Fino, Anna
openaire +4 more sources
Polynomial Cohomology and Polynomial Maps on Nilpotent Groups [PDF]
, 2019 We introduce a refined version of group cohomology and relate it to the space of polynomials on the group in question. We show that the polynomial cohomology with trivial coefficients admits a description in terms of ordinary cohomology with polynomial ...
Kyed, David, Petersen, Henrik Densing
core +2 more sources
An application of Lie groupoids to a rigidity problem of 2-step nilmanifolds [PDF]
Mathematica Bohemica, 2019 We study a problem of isometric compact 2-step nilmanifolds $M/\Gamma$ using some information on their geodesic flows, where $M$ is a simply connected 2-step nilpotent Lie group with a left invariant metric and $\Gamma$ is a cocompact discrete subgroup ...
Hamid-Reza Fanaï, Atefeh Hasan-Zadeh
doaj +1 more source
Linear Odd Poisson Bracket on Grassmann Variables [PDF]
, 1998 A linear odd Poisson bracket (antibracket) realized solely in terms of Grassmann variables is suggested. It is revealed that the bracket, which corresponds to a semi-simple Lie group, has at once three Grassmann-odd nilpotent $\Delta$-like differential ...
Batalin +17 more
core +5 more sources
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
Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent [PDF]
International Journal of Group Theory, 2020 The main result of our consideration is the proof of the centrally nilpotency of class two property for connected topological proper loops $L$ of dimension $\le 3$ which have an at most six-dimensional solvable indecomposable Lie group as their ...
Agota Figula, Ameer Al-Abayechi
doaj +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
core +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
core +1 more source