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

R. Budzyński; W. Kondracki

Banach Center Publications (1995)

  • Volume: 34, Issue: 1, page 37-45
  • ISSN: 0137-6934

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Budzyński, R., and Kondracki, W.. "Quantum spaces: notes and comments on a lecture by S. L. Woronowicz." Banach Center Publications 34.1 (1995): 37-45. <http://eudml.org/doc/251328>.

@article{Budzyński1995,
author = {Budzyński, R., Kondracki, W.},
journal = {Banach Center Publications},
keywords = {tensor products of -algebras; non-zero *-homomorphisms; compact quantum space; locally compact quantum spaces; morphism; multiplier algebra; quantum groups; Hopf fibration},
language = {eng},
number = {1},
pages = {37-45},
title = {Quantum spaces: notes and comments on a lecture by S. L. Woronowicz},
url = {http://eudml.org/doc/251328},
volume = {34},
year = {1995},
}

TY - JOUR
AU - Budzyński, R.
AU - Kondracki, W.
TI - Quantum spaces: notes and comments on a lecture by S. L. Woronowicz
JO - Banach Center Publications
PY - 1995
VL - 34
IS - 1
SP - 37
EP - 45
LA - eng
KW - tensor products of -algebras; non-zero *-homomorphisms; compact quantum space; locally compact quantum spaces; morphism; multiplier algebra; quantum groups; Hopf fibration
UR - http://eudml.org/doc/251328
ER -

References

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  1. [1] A. Connes, Non-commutative differential geometry, Publ. IHES 62 (1985), 41-144. 
  2. [2] J. Dixmier, Les C*-algebres et leurs représentations, Paris, 1964. 
  3. [3] S. Klimek, A. Leśniewski: Quantum Riemann Surfaces I, The Unit Disc. Commun. Math. Phys. 146 (1992), 103-122. Zbl0771.46036
  4. [4] P. Podleś, Quantum spheres, Lett. Math. Phys. 14 (1981), 193-202. 
  5. [5] P. Podleś, Symmetries of quantum spaces. Subgroups and quotient spaces of quantum SU(2) and SO(3) groups, Preprint, Warsaw University (1993). Zbl0853.46074
  6. [6] P. Podleś, Classification of differential structures on quantum 2-spheres, Commun. Math. Phys. 150 (1992), 167-179. Zbl0773.17015
  7. [7] P. Podleś, S. L. Woronowicz, Quantum deformation of Lorentz group, Commun. Math. Phys. 130 (1990), 381-431. Zbl0703.22018
  8. [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. [9] S. L. Woronowicz, Compact matrix pseudogroups, Commun. Math. Phys. 111 (1987), 623-665. Zbl0627.58034
  10. [10] S. L. Woronowicz, Differential calculus on compact matrix pseudogroups (quantum groups), Commun. Math. Phys. 122 (1989), 125-170. Zbl0751.58042
  11. [11] S. L. Woronowicz, Unbounded elements affiliated with C*-algebras and non-compact quantum groups, Commun. Math. Phys. 136 (1991), 399-432. Zbl0743.46080
  12. [12] S. L. Woronowicz, Quantum SU(2) and E(2) groups. Contraction procedure, Commun. Math. Phys. 149 (1992), 637-652. Zbl0759.17009

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