Results 21 to 30 of about 32,301 (195)
A Cornucopia of Carnot Groups in Low Dimensions
Analysis and Geometry in Metric Spaces, 2022 Stratified groups are those simply connected Lie groups whose Lie algebras admit a derivation for which the eigenspace with eigenvalue 1 is Lie generating.
Le Donne Enrico, Tripaldi Francesca
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ON UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS [PDF]
Proceedings of the National Academy of Sciences, 1957 In dieser Arbeit werden die hauptsächlichen Ergebnisse der nachfolgend referierten Arbeit angekündigt [vgl. Bull. Math. Soc. Fr. 85, 325--388 (1957; Zbl 0085.10303)].
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On the lower Lie nilpotency index of a group algebra [PDF]
Quaestiones Mathematicae, 2020 In this article, we show that if $KG$ is Lie nilpotent group algebra of a group $G$ over a field $K$ of characteristic $p>0$, then $t_{L}(KG)=k$ if and only if $t^{L}(KG)=k$, for $k\in\{5p-3, 6p-4\}$, where $t_{L}(KG)$ and $t^{L}(KG)$ are the lower and the upper Lie nilpotency indices of $KG$, respectively.
Meena Sahai, Bhagwat Sharan
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On nilpotent filiform Lie algebras of dimension eight
International Journal of Mathematics and Mathematical Sciences, 2003 The aim of this paper is to determine both the Zariski constructible set of characteristically nilpotent filiform Lie algebras g of dimension 8 and that of the set of nilpotent filiform Lie algebras whose group of automorphisms consists of unipotent ...
P. Barbari, A. Kobotis
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Nilpotent symmetries as a mechanism for Grand Unification
Journal of High Energy Physics, 2021 In the classic Coleman-Mandula no-go theorem which prohibits the unification of internal and spacetime symmetries, the assumption of the existence of a positive definite invariant scalar product on the Lie algebra of the internal group is essential.
Lars Andersson +2 more
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Completeness of coherent state subsystems for nilpotent Lie groups
Comptes Rendus. Mathématique, 2022 Let $G$ be a nilpotent Lie group and let $\pi $ be a coherent state representation of $G$. The interplay between the cyclicity of the restriction $\pi |_{\Gamma }$ to a lattice $\Gamma \le G$ and the completeness of subsystems of coherent states based on
van Velthoven, Jordy Timo
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Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds
Complex Manifolds, 2016 If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a ...
Yamada Takumi
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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
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Lie Nilpotency Indices of Modular Group Algebras [PDF]
Algebra Colloquium, 2010 Let K be a field of positive characteristic p and KG the group algebra of a group G. It is known that if KG is Lie nilpotent, then its upper (or lower) Lie nilpotency index is at most |G′| + 1, where |G′| is the order of the commutator subgroup. The class of groups G for which these indices are maximal or almost maximal has already been determined ...
Bódi, Viktor, Srivastava, J. B.
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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
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