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ArticleOriginal scientific text

Title

A note on coalgebra gauge theory

Authors 1

Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 9EW, U.K.

Abstract

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

Bibliography

  1. [Brz95] T. Brzeziński, Quantum Homogeneous Spaces as Quantum Quotient Spaces, J. Math. Phys. 37 (1996) 2388.
  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).
  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.
  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.
Banach Center Publications
1997/40/1
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Pages:
289-292
Main language of publication
English
Published
1997
Exact and natural sciences