Weil homomorphism in non-commutative differential spaces

• Autorzy: Jagodziński T. , Sasin W.
• Języki publikacji: EN

Abstrakty

EN

In this paper we construct Weil homomorphism in locally free module over a non-commutative differential space, which is a generalization of Sikorski differential space [6]. We consider real case, but the complex case can be done analogusly.

Słowa kluczowe

EN

homomorphism; differential space; connection; Weil homomorphism; family of curvature matrices; Sikorski space

PL

homomorfizm; homomorfizm Weila; przestrzeń różniczkowa; przestrzeń Sikorskiego; rodzina krzywizn

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 2
• Strony: 507--516
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Jagodziński T.

• Warsaw University of Technology, Faculty of Mathematics and Information Science, Pl. Politechniki 1, 00-661 Warsaw, Poland

autor

Sasin W.

• Warsaw University of Technology, Faculty of Mathematics and Information Science, Pl. Politechniki 1, 00-661 Warsaw, Poland

Bibliografia

• [1] A. Connes, Noncommunicative Differential Geometry, Academic Press Inc., New York 1994.
• [2] A. E. F. Djemai, Introduction to Dubois-Violette’s noncommutative differential geometry, Intern. J. Theor. Phys., Vol. 34, No. 6 (1995), 804-887.
• [3] M. Dubois-Violette, Derivations et calcul differential non-commutatif, Comptes Rendus de l'Academie de Sciencies Paris Serie 1 (1988), 307, 403.
• [4] P. Griffiths, J. Harris, Principles of Algebraic Geometry, New York 1978.
• [5] W. Sasin, On Weil homomorphism in locally free sheaves over a differential space, Demonstratio Math. 16 (1983), 239-267.
• [6] R. Sikorski, Abstract covariant derivative, Colloq. Math. 18 (1967), 251-272.
• [7] R. Sikorski, Differential modules, Colloq. Math. 24 (1971), 46-79.
• [8] R.O. Wells, Differential Analysis on Complex Manifold. Englewood Cliffs, N.J. 1973.