ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Department of Physics, Warsaw University, Hoża 69, 00-681 Warszawa, Poland
  2. Institute of Mathematics of Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Bibliography

  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.
Pages:
37-45
Main language of publication
English
Published
1995
Exact and natural sciences