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Quantum-Spacetime Phenomenology. [PDF]
Amelino-Camelia G.
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The Noncommutative Geometry of k-graph C*-Algebras
David Pask, Adam Rennie, Aidan Sims
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Noncommutative Algebra and Geometry
2005Finite Galois Stable Subgroups of Gln. Derived Categories for Nodal Rings and Projective Configurations. Crowns in Profinite Groups and Applications. The Galois Structure of Ambiguous Ideals in Cyclic Extensions of Degree 8. An Introduction to Noncommutative Deformations of Modules.
Corrado De Concini+3 more
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Hopf Algebras in Noncommutative Geometry and Physics [PDF]
Preface -- Conference Participants -- Morita Contexts for Corings and Equivalences -- /J. Abuhlail -- Hopf Order Module Algebra Orders -- /F. Aly and F. Van Oystaeyen -- An alternative Notion of Hopf Algebroid -- /G. Bohm -- Topological Hopf Algebras, Quantum Groups and Deformation Quantization -- /Ph. Bonneau and D.
Quantum Groups+2 more
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NONCOMMUTATIVE GEOMETRY AND GRADED ALGEBRAS IN ELECTROWEAK INTERACTIONS
International Journal of Modern Physics A, 1992The Standard Model of Electroweak Interactions can be described by a generalized Yang-Mills field incorporating both the usual gauge bosons and the Higgs fields. The graded derivative by means of which the Yang-Mills field strength is constructed involves both a differential acting on space-time and a differential acting on an associative graded ...
G. Esposito Farèse+2 more
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Interactions between Algebraic Geometry and Noncommutative Algebra
2002Workshop ...
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Noncommutative geometry with graded differential Lie algebras
Journal of Mathematical Physics, 1997Starting 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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Noncommutative differential geometry of matrix algebras
Journal of Mathematical Physics, 1990The 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).
Dubois-Violette, Michel+2 more
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