Quantum spaces: notes and comments on a lecture by S. L. Woronowicz

• Autorzy: R. J. Budzyński , W. Kondracki
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1995
• Tom: 34
• Numer: 1
• Strony: 37-45

Twórcy

autor

R. J. Budzyński

• Department of Physics, Warsaw University, Hoża 69, 00-681 Warszawa, Poland

autor

W. Kondracki

• Institute of Mathematics of Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Bibliografia

• [1] A. Connes, Non-commutative differential geometry, Publ. IHES 62 (1985), 41-144.
• [2] J. Dixmier, Les C*-algebres et leurs représentations, Paris, 1964.
• [3] S. Klimek, A. Leśniewski: Quantum Riemann Surfaces I, The Unit Disc. Commun. Math. Phys. 146 (1992), 103-122.
• [4] P. Podleś, Quantum spheres, Lett. Math. Phys. 14 (1981), 193-202.
• [5] P. Podleś, Symmetries of quantum spaces. Subgroups and quotient spaces of quantum SU(2) and SO(3) groups, Preprint, Warsaw University (1993).
• [6] P. Podleś, Classification of differential structures on quantum 2-spheres, Commun. Math. Phys. 150 (1992), 167-179.
• [7] P. Podleś, S. L. Woronowicz, Quantum deformation of Lorentz group, Commun. Math. Phys. 130 (1990), 381-431.
• [8] S. L. Woronowicz: Twisted SU(2) group. An example of a non-commutative differential calculus Publ. RIMS, Kyoto Univ. 23 (1987), 117-181.
• [9] S. L. Woronowicz, Compact matrix pseudogroups, Commun. Math. Phys. 111 (1987), 623-665.
• [10] S. L. Woronowicz, Differential calculus on compact matrix pseudogroups (quantum groups), Commun. Math. Phys. 122 (1989), 125-170.
• [11] S. L. Woronowicz, Unbounded elements affiliated with C*-algebras and non-compact quantum groups, Commun. Math. Phys. 136 (1991), 399-432.
• [12] S. L. Woronowicz, Quantum SU(2) and E(2) groups. Contraction procedure, Commun. Math. Phys. 149 (1992), 637-652.