Simultaneous Measurements of Noncommuting Observables: Positive Transformations and Instrumental Lie Groups [PDF]
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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Open-string BRST cohomology for generalized complex branes [PDF]
, 2005 It has been shown recently that the geometry of D-branes in general topologically twisted (2,2) sigma-models can be described in the language of generalized complex (GC) structures.
Kapustin, Anton, Li, Yi
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On the cokernel of the Thom morphism for compact Lie groups [PDF]
Homology, Homotopy and Applications, 2023 We give a complete description of the potential failure of the surjectivity of the Thom morphism from complex cobordism to integral cohomology for compact Lie groups via a detailed study of the Atiyah-Hirzebruch spectral sequence and the action of the ...
Eiolf Kaspersen, Gereon Quick
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On 4-dimensional Einsteinian manifolds with parallel null distribution [PDF]
ریاضی و جامعه, 2023 In this paper, we investigate the Einsteinian manifolds with parallel null distribution. For this purpose, we first obtain the equations, which are known as Einstein's equations, that lead to finding the mentioned manifolds and then, we reduce Einstein's
Mehdi Jafari
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Nonexistence of Surjective Lie Homomorphism Between Complex Special and General Linear Groups
Highlights in Science Engineering and Technology, 2023 Lie groups are very important objects in algebra, topology and geometry, as it is naturally endowed with two special structures: the algebraic structure of group and the geometric structure of differential manifold.
Jiajun Fu
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Lie groupoids of mappings taking values in a Lie groupoid [PDF]
Archiv der Mathematik, 2018 Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop groups.
H. Amiri +2 more
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Differential Galois Theory and Isomonodromic Deformations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2018 We present a geometric setting for the differential Galois theory of $G$-invariant connections with parameters. As an application of some classical results on differential algebraic groups and Lie algebra bundles, we see that the Galois group of a ...
David Bl'azquez-Sanz +2 more
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Geometry of Submanifolds and Homogeneous Spaces
, 2020 The present Special Issue of Symmetry is devoted into two important areas of global Riemannian geometry, namely submanifold theory and the geometry of Lie groups and homogeneous spaces.
G. Kaimakamis, A. Arvanitoyeorgos
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Tableaux over Lie algebras, integrable systems, and classical surface theory [PDF]
, 2006 Starting from suitable tableaux over finite dimensional Lie algebras, we provide a scheme for producing involutive linear Pfaffian systems related to various classes of submanifolds in homogeneous spaces which constitute integrable systems. These include
Musso, Emilio, Nicolodi, Lorenzo
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Supersymmetric quantum theory and (non-commutative) differential geometry [PDF]
, 1996 We reconsider differential geometry from the point of view of the quantum theory of non-relativistic spinning particles, which provides examples of supersymmetric quantum mechanics.
Froehlich, J. +2 more
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