A note on coalgebra gauge theory

Tomasz Brzeziński

Banach Center Publications (1997)

  • Volume: 40, Issue: 1, page 289-292
  • ISSN: 0137-6934

Abstract

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A generalisation of quantum principal bundles in which a quantum structure group is replaced by a coalgebra is proposed.

How to cite

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Brzeziński, Tomasz. "A note on coalgebra gauge theory." Banach Center Publications 40.1 (1997): 289-292. <http://eudml.org/doc/252251>.

@article{Brzeziński1997,
abstract = {A generalisation of quantum principal bundles in which a quantum structure group is replaced by a coalgebra is proposed.},
author = {Brzeziński, Tomasz},
journal = {Banach Center Publications},
keywords = {braided groups; Hopf algebras; quantum groups},
language = {eng},
number = {1},
pages = {289-292},
title = {A note on coalgebra gauge theory},
url = {http://eudml.org/doc/252251},
volume = {40},
year = {1997},
}

TY - JOUR
AU - Brzeziński, Tomasz
TI - A note on coalgebra gauge theory
JO - Banach Center Publications
PY - 1997
VL - 40
IS - 1
SP - 289
EP - 292
AB - A generalisation of quantum principal bundles in which a quantum structure group is replaced by a coalgebra is proposed.
LA - eng
KW - braided groups; Hopf algebras; quantum groups
UR - http://eudml.org/doc/252251
ER -

References

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  1. [Brz95] T. Brzeziński, Quantum Homogeneous Spaces as Quantum Quotient Spaces, J. Math. Phys. 37 (1996) 2388. Zbl0878.17011
  2. [Brz96] T. Brzeziński, Crossed Products by a Coalgebra, Preprint DAMTP/96-28 (1996), q-alg/9603016. 
  3. [BM93] T. Brzeziński and S. Majid, Quantum Group Gauge Theory on Quantum Spaces, Commun. Math. Phys. 157 (1993) 591; it ibid. 167 (1995) 235 (erratum). Zbl0817.58003
  4. [BM95] T. Brzeziński and S. Majid, Coalgebra Gauge Theory, Preprint DAMTP/95-74, (1995), q-alg/9602022. 
  5. [Maj90] S. Majid, Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction, J.Algebra, 130 (1990) 17. Zbl0694.16008
  6. [Maj93] S. Majid, Beyond supersymmetry and quantum symmetry (an introduction to braided groups and braided matrices), In: M.L. Ge and H.J. de Vega, editors, Quantum Groups, Integrable Statistical Models and Knot Theory, 231-238, World Scientific, 1993. 
  7. [Maj95] S. Majid, Quantum and braided Lie algebras, J. Geom. Phys. 13(1994)307. 

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