Differential algebras in non-commutative geometry

Journal of Geometry and Physics - Tập 16 - Trang 149-167 - 1995
W. Kalau1, N.A. Papadopoulos1, J. Plass1, J.-M. Warzecha1
1Johannes Gutenberg Universität, Institut für Physik, 55099 Mainz, Germany

Tài liệu tham khảo

A. Connes, Non Commutative Geometry (Academic Press). Connes, 1990, Particle models and non-commutative geometry, 18B, 12 Chamseddine, 1992, Grand unification in noncommutative geometry, Nucl. Phys. B, 395, 672, 10.1016/0550-3213(93)90053-R Chamseddine, 1992, Unified gauge theories in non-commutative geometry, Phys. Lett. B, 296, 109, 10.1016/0370-2693(92)90810-Q Chamseddine, 1993, SO(10) unification in non-commutative geometry, ZU-TH-10-1993 Chamseddine, 1993, Constraints on the Higgs and top quark masses from effective potentials and non-commutative geometry, Phys. Lett. B, 314, 308, 10.1016/0370-2693(93)91241-E Coquereaux, 1991, Higgs fields as Yang-Mills fields and discrete symmetries, Nucl. Phys. B, 353, 689, 10.1016/0550-3213(91)90323-P Coquereaux, 1990, Higgs fields and superconnections, 375, 3 Häußling, 1991, SU(2|1) symmetry, algebraic superconnections and generalised theory of electroweak interactions, Phys. Lett. B, 260, 125, 10.1016/0370-2693(91)90979-Z Coquereaux, 1992, Non-commutative geometry and graded algebras in electroweak interactions, Int. J. of Mod. Phys. A, 7, 6555, 10.1142/S0217751X9200301X Häußling, 1993, Supersymmetry in the standard model of electroweak interactions, Phys. Lett. B, 303, 265, 10.1016/0370-2693(93)91430-U Kastler, 1992, A detailed account of A. Connes' version of the standard model in non-commutative geometry, CPT-91/P.2610, Marseille D. Kastler and M. Mebkhout, Lectures on Non-Commutative Differential Geometry (World Scientific). D. Kastler and D. Testard, Quantum forms of tensor products, CPT-92/P.2793. Papadopoulos, 1994, Models of electroweak interactions in non-commutative geometry: a comparison, Phys. Lett. B, 324, 380, 10.1016/0370-2693(94)90210-0 Plass, 1993, Verallgemeinerte Differentialformen als Zugang zur Nichtkommutativen Differentialgeometrie, Diplomarbeit, Mainz Quillen, 1985, Superconnections and the Chern character, Topology, 24, 89, 10.1016/0040-9383(85)90047-3 Matthai, 1986, Superconnections, Thom classes and equivariant differential forms, Topology, 25, 85, 10.1016/0040-9383(86)90007-8 Warzecha, 1993, Nichtkommutative Geometrie und das Standardmodell der Elementarteilchenphysik, Diplomarbeit, Mainz