Results 21 to 30 of about 231,503 (267)

Universal corner symmetry and the orbit method for gravity

open access: yesNuclear Physics B, 2023
A universal symmetry algebra organizing the gravitational phase space has been recently found. It corresponds to the subset of diffeomorphisms that become physical at corners – codimension-2 surfaces supporting Noether charges.
Luca Ciambelli, Robert G. Leigh
doaj   +1 more source

Geometric phases characterise operator algebras and missing information

open access: yesJournal of High Energy Physics, 2023
We show how geometric phases may be used to fully describe quantum systems, with or without gravity, by providing knowledge about the geometry and topology of its Hilbert space. We find a direct relation between geometric phases and von Neumann algebras.
Souvik Banerjee   +3 more
doaj   +1 more source

Geometric Algebra Model of Distributed Representations [PDF]

open access: yes, 2010
Formalism based on GA is an alternative to distributed representation models developed so far --- Smolensky's tensor product, Holographic Reduced Representations (HRR) and Binary Spatter Code (BSC).
D. Aerts   +11 more
core   +1 more source

Geometric Algebra Applied to Multiphase Electrical Circuits in Mixed Time–Frequency Domain by Means of Hypercomplex Hilbert Transform

open access: yesMathematics, 2022
In this paper, power flows in electrical circuits are modelled in a mixed time-frequency domain by using geometric algebra and the Hilbert transform for the first time.
Francisco G. Montoya   +4 more
doaj   +1 more source

Birational geometry of cluster algebras [PDF]

open access: yes, 2014
We give a geometric interpretation of cluster varieties in terms of blowups of toric varieties. This enables us to provide, among other results, an elementary geometric proof of the Laurent phenomenon for cluster algebras (of geometric type), extend ...
Gross, Mark, Hacking, Paul, Keel, Sean
core   +1 more source

UAV’s Agricultural Image Segmentation Predicated by Clifford Geometric Algebra

open access: yesIEEE Access, 2019
Image segmentation is widely used in the field of agriculture to improve the yields and protecting them from pests, herbs, shrubs, and weeds. Precision agriculture is also contributing to the inter and intra crop monitoring.
Prince Waqas Khan   +4 more
doaj   +1 more source

4d higgsed network calculus and elliptic DIM algebra

open access: yesNuclear Physics B, 2022
Supersymmetric gauge theories of certain class possess a large hidden nonperturbative symmetry described by the Ding-Iohara-Miki (DIM) algebra which can be used to compute their partition functions and correlators very efficiently.
Mohamed Ghoneim   +3 more
doaj   +1 more source

Electric-Magnetic duality and the "Loop Representation" in Abelian Gauge Theories [PDF]

open access: yes, 1996
Abelian Gauge Theories are quantized in a geometric representation that generalizes the Loop Representation and treates electric and magnetic operators on the same footing.
Leal, Lorenzo
core   +2 more sources

Global geometric deformations of current algebras as Krichever-Novikov type algebras [PDF]

open access: yes, 2004
We construct algebraic-geometric families of genus one (i.e. elliptic) current and affine Lie algebras of Krichever-Novikov type. These families deform the classical current, respectively affine Kac-Moody Lie algebras.
Alice Fialowski   +25 more
core   +1 more source

Algebraic Geometric Codes [PDF]

open access: yes, 1990
The most important development in the theory of error-correcting codes in recent years is the introduction of methods from algebraic geometry to construct good codes. The ideas are based on generalizations of so-called Goppa codes. The (by now) “classical” Goppa codes (1970, cf.[6]) were already a great improvement on codes known at that time.
openaire   +2 more sources

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