Results 21 to 30 of about 32,142 (201)
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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Curvature in nilpotent Lie groups [PDF]
Proceedings of the American Mathematical Society, 1964 Colloq. Algebraic Topology, 1962, pp. 104-113, Matematisk Institut, Aarhus Universitet, Denmark. 4. M. F. Atiyah, Thom complexes, Proc. London Math. Soc. (3) 11 (1961), 291310. 5. M. F. Atiyah and J. A. Todd, On complex Stiefel manifolds, Proc. Cambridge Philos. Soc. 56 (1960), 342-353. 6. Sze-Tsen Hu, Homotopy theory, Pure and Applied Mathematics VIII,
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Uncertainty relations on nilpotent Lie groups [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2017 We give relations between main operators of quantum mechanics on one of most general classes of nilpotent Lie groups. Namely, we show relations between momentum and position operators as well as Euler and Coulomb potential operators on homogeneous groups. Homogeneous group analogues of some well-known inequalities such as Hardy's inequality, Heisenberg–
Michael Ruzhansky, Durvudkhan Suragan
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Outer restricted derivations of nilpotent restricted Lie algebras [PDF]
, 2011 In this paper we prove that every finite-dimensional nilpotent restricted Lie algebra over a field of prime characteristic has an outer restricted derivation whose square is zero unless the restricted Lie algebra is a torus or it is one-dimensional or it
Feldvoss, Jörg +2 more
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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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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
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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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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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