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Hypercomplex neural networks: Exploring quaternion, octonion, and beyond in deep learning. [PDF]
MethodsXDevadas RM +5 more
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Quantum (non-commutative) toric geometry: Foundations [PDF]
Advances in Mathematics, 2021 93 pages, 4 ...
Ernesto Lupercio
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Graded non-commutative geometries
Journal of Geometry and Physics, 1993The author presents a short exposition of graded finite non-commutative geometries. The theory that serves as an example is based on the algebra of matrices \(M_ n(C)\). This noncommutative algebra replaces the algebra of functions on a manifold. Consequently, vector fields, forms and connections are constructed.
Richard Kerner
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Spinning Particles and Non-Commutative Geometry
Physica Scripta, 2005Summary: An emerged coordinate for noncommutative geometry is derived to the recent model of anyons, as spinning partticles in background gravity.
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Supersymmetry and Non-Commutative Geometry
1997In these lectures we describe an approach to differential topology and geometry rooted in supersymmetric quantum theory. We show how the basic concepts and notions of differential geometry emerge from concepts and notions of the quantum theory of non-relativistic particles with spin, and how the classification of different types of differential ...
J. Fröhlich, O. Grandjean, A. Recknagel
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On non-commutative noetherian local rings, non-commutative geometry and particle physics
Chaos, Solitons & Fractals, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fahmy, Mohamed H., Fahmy, Susan
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Non-commutative Geometry in Massless and Massive Particles
International Journal of Theoretical Physics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pahlavani, M. R., Pourhassan, B.
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Spin and non-commutative geometry
Chaos, Solitons & Fractals, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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