Groupoids, their representations and imprimitivity systems

• Autorzy: Pysiak L.
• Języki publikacji: EN

Słowa kluczowe

EN

groupoids; semigroups

PL

grupoidy; półgrupy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 3
• Strony: 661--670
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Pysiak L.

• Warsaw School of Information and Management, Faculty of Computer Science, ul. Newelska 6, 01-447 Warsaw, Poland

Bibliografia

• [1] M. Heller, Z. Odrzygóźdź, L. Pysiak, W. Sasin, Structure of malicious singularities, Internat. J. Theoret. Phys. (2003), 427-441.
• [2] M. Heller, Z. Odrzygóźdź, L. Pysiak, W. Sasin, Noncommutative unification of general relativity and quantum mechanics. A finite model, General Relativity and Gravitation 36 (2004), 111-126.
• [3] M. Heller, W. Sasin, Differential grupoids and their application to the theory of spacetime singularities, Internat. J. Theoret. Phys., 41 (2002), 919-937.
• [4] M. Heller, W. Sasin, D. Lambert, Grupoid approach to noncommutative quantization of gravity, J. Math. Phys. 38 (1997), 5840-5852.
• [5] N. P. Landsman, Mathematical Topics between Classical and Quantum Mechanics, Springer, New York, 1998.
• [6] G. W. Mackey, The relationship between classical mechanics and quantum mechanics, Contemporary Math. 214 (1998), 91-109.
• [7] G. W. Mackey, Imprimitivity for representations of locally compact grups, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 537-545.
• [8] A. L. T. Paterson, Groupoids, Invers Semigroups, and Their Operator Algebras, Birkhauser, Boston, 1999.
• [9] M. E. Taylor, Noncommutative Harmonic Analysis, A.M.S., Providence, 1986.
• [10] A. Weinstein, Groupoids: unifying internal and external symmetry, Contemporary Math. 282 (2001), 1-19.
• [11] J. Westman, Harmonic analysis on groupoids, Pacific J. Math., 27 (1968), 621-632.