Results 141 to 150 of about 16,964 (172)

Noncommutative geometry with graded differential Lie algebras

Journal of Mathematical Physics, 1997
Starting with a Hilbert space endowed with a representation of a unitary Lie algebra and an action of a generalized Dirac operator, we develop a mathematical concept towards gauge field theories. This concept shares common features with the Connes–Lott prescription of noncommutative geometry, differs from that, however, by the implementation of unitary
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Introduction to Dubois-Violette's noncommutative differential geometry

International Journal of Theoretical Physics, 1995
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Stochastic differential calculus, the Moyal *-product, and noncommutative geometry

Letters in Mathematical Physics, 1993
The authors present a reformulation of the Itõ calculus of stochastic differentials in terms of a differential calculus in the sense of noncommutative geometry. In this calculus, differentials do not commute with functions. The relation between both types of differential calculi is mediated by a generalized Moyal *-product.
Dimakis, Aristophanes, Müller-Hoissen, Folkert   +1 more
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Normed Groups and Their Applications in Noncommutative Differential Geometry

Journal of Mathematical Sciences, 2003
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Noncommutative differential geometry on deformed quantum mechanical phase spaces

Journal of Mathematical Physics, 1994
The problem of formulating noncommutative differential geometry on multiparametric deformations of arbitrary quantum mechanical phase spaces involving bosonic or (even or odd-dimensional) fermionic variables is investigated. A suitable enlargement of the basic quadratic algebras enables one to solve all the consistency conditions on the calculus with ...
Parashar, Preeti, Bhasin, V. S., Soni, S. K.   +2 more
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Mini-Workshop: Dirac Operators in Differential and Noncommutative Geometry

2006
Abstract. This mini-workshop brought together mathematicians and physicists working either on classical or on noncommutative differential geometry. Our aim was to show current interests, methods and results within each group and to open the possibility for interaction between the two groups. The first three days were devoted to expository presentations.
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Noncommutative Differential Geometry and the Structure of Space Time

1997
Abstract One of the original motivations of noncommutative geometry is to apply geo metric ideas and concepts to spaces which are intractable if considered from the usual set-theoretic ideas of Riemannian geometry. Among the first examples of such spaces are the leaf spaces of foliations or the duals of noncommutative discrete groups.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

SU(n)-Gauge Theories in Noncommutative Differential Geometry

1998
We study the noncommutative differential geometry of the algebra of endomorphisms of any SU(n)-vector bundle. We show that ordinary connections on such SU(n)-vector bundle can be interpreted in a natural way as a noncommutative 1-form on this algebra for the differential calculus based on derivations.
Dubois-Violette, Michel, Masson, Thierry
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Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry

This is a thesis in noncommutative differential geometry. Equipping algebras with differential calculi, we propose noncommutative differential equivalents of some concepts from topology: submanifolds and fibre bundles. Further, we consider some ideas towards noncommutative versions of cofibrations and retracts.
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