Results 151 to 160 of about 601 (176)

Covariant noncommutative differential geometry

Journal of Mathematical Sciences, 1996
See the review in Zbl 0817.46069.
P P Kulish, Kulish P P
exaly   +3 more sources

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).
Michel Dubois-Violette, Richard Kerner, John Madore   +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

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.
core   +4 more sources

Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry [PDF]

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.
JAMES BLAKE
openaire   +3 more sources

Noncommutative geometry of lattice and staggered fermions

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2001
Differential structure of a d-dimensional lattice, which is essentially a noncommutative exterior algebra, is defined using reductions in first order and second order of universal differential calculus in the context of noncommutative geometry (NCG ...
Xing-Chang Song
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

Noncommutative Differential Geometry and Its Applications to Physics

2001
exaly   +2 more sources