Results 1 to 10 of about 160,813 (290)
Algebraic characterizations in complex differential geometry [PDF]
Transactions of the American Mathematical Society, 1935 1. In the treatment of differential geometry from the modern invariantive standpoint it is usually unnecessary that the coordinates and the functions which define the structure of the space under consideration be real quantities. Adopting the more general hypothesis of complex coordinates and structure functions we arrive at the concept of generalized ...
T. Y. Thomas
+5 more sources
Differential algebras in non-commutative geometry [PDF]
Journal of Geometry and Physics, 1995 We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of differential forms with a specific matrix algebra.
Wolfgang Kalau +3 more
openalex +4 more sources
Nonassociative algebras: a framework for differential geometry [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection. Its elements are interpreted as vector fields and its multiplication is interpreted as a connection. This provides a framework for differential geometry on a formal manifold with a formal connection. A
Lucian M. Ionescu
openalex +3 more sources
C*algebras and differential geometry
, 2001 Translated Comptes Rendus Note of March ...
Alain Connes
openalex +4 more sources
Noncommutative differential geometry, and the matrix representations of generalised algebras [PDF]
Journal of Geometry and Physics, 1998 16 pages Latex, No figures.
Jonathan Gratus
openalex +5 more sources
Current Algebra and Differential Geometry [PDF]
Journal of High Energy Physics, 2005 14 pages. Dedicated to Ludwig Faddeev on the occasion of his 70th birthday.
Anton Alekseev, Thomas Strobl
openalex +6 more sources
Graded differential geometry of graded matrix algebras [PDF]
Journal of Mathematical Physics, 1999 We study the graded derivation-based noncommutative differential geometry of the Z2-graded algebra M(n|m) of complex (n+m)×(n+m)-matrices with the “usual block matrix grading” (for n≠m). Beside the (infinite-dimensional) algebra of graded forms, the graded Cartan calculus, graded symplectic structure, graded vector bundles, graded connections and ...
Harald Grosse, G. Reiter
openalex +5 more sources
Geometry of differential operators, odd Laplacians, and homotopy algebras [PDF]
Journal of Nonlinear Mathematical Physics, 2004 We give a complete description of differential operators generating a given bracket. In particular we consider the case of Jacobi-type identities for odd operators and brackets. This is related with homotopy algebras using the derived bracket construction. (Based on a talk at XXII Workshop on Geometric Methods in Physics at Bialowieza)
H. M. Khudaverdian, Theodore Voronov
openalex +6 more sources
Poisson algebras via model theory and differential-algebraic geometry [PDF]
Journal of the European Mathematical Society, 2014 Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide. In this article a complete answer is given to this question using techniques from differential-algebraic geometry
Jason P. Bell +3 more
openalex +6 more sources
Nonsmooth differential geometry and algebras of generalized functions
Journal of Mathematical Analysis and Applications, 2004 17 pages, typos ...
Michael Kunzinger
openalex +5 more sources