Results 1 to 10 of about 377 (127)
On the properties of the projective Lie algebras of rigid h-spaces H32 of the type {32} [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2020 The five-dimensional pseudo-Riemannian spaces that admit infinitesimal projective transformations were studied. A general solution of the Eisenhart equation in the h-space H32 of non-constant curvature was found.
A.V. Aminova, D.R. Khakimov
doaj +2 more sources
A Lie algebra attached to a projective variety [PDF]
Inventiones Mathematicae, 1997 Each choice of a Kähler class on a compact complex manifold defines an action of the Lie algebra $\slt$ on its total complex cohomology. If a nonempty set of such Kähler classes is given, then we prove that the corresponding $\slt$-copies generate a semisimple Lie algebra. We investigate the formal properties of the resulting representation and we work
Eduard Looijenga, Looijenga Eduard
exaly +6 more sources
Complex Lie algebras corresponding to weighted projective lines [PDF]
Frontiers of Mathematics in China, 2010 8 ...
Jie Sheng
exaly +3 more sources
Projective Lie algebra bases of a locally compact group and uniform differentiability
Mathematische Zeitschrift, 1989 Let G be a locally compact group and \({\mathcal L}(G)\) its Lie algebra in the sense of R. Lashof. We introduce the notion of a projective basis as a particular vector space basis of \({\mathcal L}(G)\) and prove the existence of such a basis for every locally compact group.
exaly +2 more sources
Order Filter Model for Minuscule Plücker Relations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The Plücker relations which define the Grassmann manifolds as projective varieties are well known. Grass-mann manifolds are examples of minuscule flag manifolds.
David C Lax
doaj +1 more source
Projections in Kac-Moody Lie Algebras [PDF]
Proceedings of the American Mathematical Society, 1992 Let g \mathfrak {g} be a Kac-Moody Lie algebra and
Misra, Kailash C., Putcha, Mohan S.
openaire +2 more sources
Symmetries of quaternionic Kähler manifolds with S1‐symmetry
Transactions of the London Mathematical Society, 2021 We study symmetry properties of quaternionic Kähler manifolds obtained by the HK/QK correspondence. To any Lie algebra g of infinitesimal automorphisms of the initial hyper‐Kähler data, we associate a central extension of g, acting by infinitesimal ...
V. Cortés, A. Saha, D. Thung
doaj +1 more source
Dixon-Rosenfeld lines and the Standard Model
European Physical Journal C: Particles and Fields, 2023 We present three new coset manifolds named Dixon-Rosenfeld lines that are similar to Rosenfeld projective lines except over the Dixon algebra $$\mathbb {C}\otimes \mathbb {H}\otimes \mathbb {O}$$ C ⊗ H ⊗ O .
David Chester +4 more
doaj +1 more source
Advances in the Theory of Compact Groups and Pro-Lie Groups in the Last Quarter Century
Axioms, 2021 This article surveys the development of the theory of compact groups and pro-Lie groups, contextualizing the major achievements over 125 years and focusing on some progress in the last quarter century.
Karl H. Hofmann, Sidney A. Morris
doaj +1 more source
On projective representations of Plesken Lie algebras
, 2022 In this article we describe the projective representation of Plesken Lie algebras and equivalent central extensions of these algebras. Further it is also shown that there exists a bijective correspondence between second cohomology group, equivalent central extensions and projectively equivalent projective representations of Plesken Lie algebras.
Romeo, P G, N, Arjun S
openaire +2 more sources