Results 31 to 40 of about 3,483,162 (228)
Cohomologies of difference Lie groups and van Est theorem [PDF]
J. Algebra 645 (2024), 116-142, 2022 A difference Lie group is a Lie group equipped with a difference operator, equivalently a crossed homomorphism with respect to the adjoint action. In this paper, first we introduce the notion of a representation of a difference Lie group, and establish the relation between representations of difference Lie groups and representations of difference Lie ...
arxiv
The Discontinuity Group of a Locally Bounded Homomorphism of a Lie Group into a Lie Group Is Commutative [PDF]
arXiv, 2023 We prove that the discontinuity group of every locally bounded homomorphism of a Lie group into a Lie group is not only compact and connected, which is known, but is also commutative.
arxiv
Quiver theories and formulae for nilpotent orbits of Exceptional algebras
Journal of High Energy Physics, 2017 We treat the topic of the closures of the nilpotent orbits of the Lie algebras of Exceptional groups through their descriptions as moduli spaces, in terms of Hilbert series and the highest weight generating functions for their representation content.
Amihay Hanany, Rudolph Kalveks
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Lie group representations and quantization [PDF]
Reports on Mathematical Physics, 2001 Abstract In this paper we are concerned with the study of representations of connected Lie groups, related to physical problems. The representation technique used here is formulated on the basis of a group quantization formalism previously introduced. It generalizes the Konstant—Kirillov co-adjoint orbits method for connected Lie groups and the Borel—
Victor Aldaya +3 more
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Representation of Plesken Lie algebras [PDF]
arXiv, 2022 Cohen and Taylor introduced Plesken Lie algebras of finite groups and studied their structural properties. As a further step, we will introduce Plesken Lie algebra representations, Plesken Lie algebra modules and discuss the irreducibility property.
arxiv
Analytic factorization of Lie group representations
Journal of Functional Analysis, 2012 14 ...
Gimperlein, Heiko +2 more
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Lie Group Representations On Polynomial Rings [PDF]
American Journal of Mathematics, 1963 Let G be a group of linear transformations on a finite dimensional real or complex vector space X. Assume X is completely reducible as a G-module. Let S be the ring of all complex-valued polynomials on X, regarded as a G-module in the obvious way, and let J ? S be the sub-ring of all G-invariant polynomials on X.
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Réalisation du flot géodesique sur le groupe SO(n) comme flot sur des orbites de Kotant-Kirillov/Realization of geodesic flow on the group SO(n) as a flow on Kostant-Kirillov orbits [PDF]
Surveys in Mathematics and its Applications, 2019 The aim of this paper is to realize the geodesic flow on the group SO(n) as a flow on the Kostant-Kirillov orbits. We study the adjoint and coadjoint orbits of a Lie group with an application in the case of the orthogonal special group SO(n). We will see
Ahmed Lesfari
doaj
Entropy, 2023 We formulate a general program for describing and analyzing continuous, differential weak, simultaneous measurements of noncommuting observables, which focuses on describing the measuring instrument autonomously, without states.
Christopher S. Jackson, Carlton M. Caves
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On the Prolongations of Representations of Lie Groups
, 2010 In this paper, we introduce a study of prolongations of representations of Lie groups. We obtain a faithful (one-to-one) representation of TG where G is a finite-dimensional Lie group and TG is the tangent bundle of G, by using (not necessarily faithful) representations of G.
KADIOĞLU, Hülya, Esin, Erdoğan
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