Results 121 to 130 of about 167 (143)

Noncommutative differential geometry of matrix algebras

Journal of Mathematical Physics, 1990
The noncommutative differential geometry of the algebra Mn (C) of complex n×n matrices is investigated. The role of the algebra of differential forms is played by the graded differential algebra C(sl(n,C),Mn (C))=Mn (C)⊗Λsl(n,C)*,sl(n,C) acting by inner derivations on Mn (C).
Richard Kerner, Kerner Richard, Dubois-Violette Michel   +2 more
exaly   +3 more sources

Introduction to Dubois-Violette's noncommutative differential geometry

International Journal of Theoretical Physics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

Noncommutative Differential Geometry and Its Applications to Physics

2001
exaly   +2 more sources

Noncommutative differential geometry related to the Young-Baxter equation

Journal of Mathematical Sciences, 1995
Let \(V\) be a vector space over a (not necessarily commutative) ring \(k\), and consider the ``symmetry'' operator \(S\colon V^{\otimes 2}\to V^{\otimes 2}\), \(S(e_i\otimes e_j)=S^{kl}_{ij} e_k\otimes e_l\), \(e_i\in V\) (with summation over repeated indices), satisfying the Yang-Baxter equation \(S^{12}S^{23}S^{12}=S^{23}S^{12}S^{23}\).
Gurevich, D., Radul, A., Rubtsov, V.
openaire   +2 more sources

Normed Groups and Their Applications in Noncommutative Differential Geometry

Journal of Mathematical Sciences, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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.
openaire   +1 more source

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
openaire   +2 more sources

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
openaire   +1 more source

Noncommutative Differential Geometry and Infinitesimal Spaces

Dans cette thèse, nous introduisons le langage de la géométrie différentielle noncommutative afin de formaliser le calcul différentiel discret.Dans le Chapitre 2, nous commençons par une brève description de limites inverses d'ensembles partiellement ordonnés (parfois appelé poset d'après l'anglais partially ordered set) comme approximation d'espace ...
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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.
openaire   +2 more sources