Results 51 to 60 of about 3,483,162 (228)
Symmetric degenerations are not in general induced by type A degenerations [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2022 We consider a symmetric quiver with relations. Its (symmetric) representations of a fixed symmetric dimension vector are encoded in the (symmetric) representation varieties.
Magdalena Boos, Giovanni Cerulli Irelli
doaj
Nuclear Physics B, 2022 We extend the (gauged) Skyrme model to the case in which the global isospin group (which usually is taken to be SU(N)) is a generic compact connected Lie group G.
S.L. Cacciatori +4 more
doaj
Miniscule representations, Gauss sum and modular invariance [PDF]
, 2007 After explaining the concepts of Langlands dual and miniscule representations, we define an analog of the Gauss sum for any compact, simple Lie group with a simply laced Lie algebra.
Wu, Siye
core +1 more source
Connections on trivial vector bundles over projective schemes
Comptes Rendus. MathématiqueOver a smooth and proper complex scheme, the differential Galois group of an integrable connection may be obtained as the closure of the transcendental monodromy representation.
Biswas, Indranil +2 more
doaj +1 more source
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
Kernels of Linear Representations of Lie Groups, Locally Compact Groups, and Pro-Lie Groups [PDF]
J. Group Theory 15 (2012), 407-437, 2010 For a topological group G the intersection KO(G) of all kernels of ordinary representations is studied. We show that KO(G) is contained in the center of G if G is a connected pro-Lie group. The class KO(C) is determined explicitly if C is the class ConnLie of connected Lie groups or the class almConnLie of almost connected Lie groups: in both cases, it
arxiv +1 more source
Generalized Holographic Principle, Gauge Invariance and the Emergence of Gravity à la Wilczek
Frontiers in Astronomy and Space Sciences, 2021 We show that a generalized version of the holographic principle can be derived from the Hamiltonian description of information flow within a quantum system that maintains a separable state. We then show that this generalized holographic principle entails
Andrea Addazi +11 more
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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
Prolongations of Lie Algebra Representations [PDF]
Advances and applications in mathematical sciences, vol:10, issue
5, 533-542, 2011, 2013 In this paper, we present a study on the prolongations of representations of Lie algebras. We show that a tangent bundle of a given Lie algebra attains a Lie algebra structure. Then, we prove that this tangent bundle is algebraically isomorphic to the Lie algebra of a tangent bundle of a Lie group.
arxiv
Towards a Lie theory for locally convex groups [PDF]
Japanese Journal of Math. 1 (2006), 291-468, 2015 In this survey, we report on the state of the art of some of the fundamental problems in the Lie theory of Lie groups modeled on locally convex spaces, such as integrability of Lie algebras, integrability of Lie subalgebras to Lie subgroups, and integrability of Lie algebra extensions to Lie group extensions. We further describe how regularity or local
arxiv