# Some remarks on quantum and braided group gauge theory

Banach Center Publications (1997)

- Volume: 40, Issue: 1, page 335-349
- ISSN: 0137-6934

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topMajid, Shahn. "Some remarks on quantum and braided group gauge theory." Banach Center Publications 40.1 (1997): 335-349. <http://eudml.org/doc/252224>.

@article{Majid1997,

abstract = {We clarify some aspects of quantum group gauge theory and its recent generalisations (by T. Brzeziński and the author) to braided group gauge theory and coalgebra gauge theory. We outline the diagrammatic version of the braided case. The bosonisation of any braided group provides us a trivial principal bundle in three ways.},

author = {Majid, Shahn},

journal = {Banach Center Publications},

keywords = {bosonisation; gauge theory; connection; braided group; quantum group; fiber bundle; noncommutative geometry; fibre bundle; principal bundle},

language = {eng},

number = {1},

pages = {335-349},

title = {Some remarks on quantum and braided group gauge theory},

url = {http://eudml.org/doc/252224},

volume = {40},

year = {1997},

}

TY - JOUR

AU - Majid, Shahn

TI - Some remarks on quantum and braided group gauge theory

JO - Banach Center Publications

PY - 1997

VL - 40

IS - 1

SP - 335

EP - 349

AB - We clarify some aspects of quantum group gauge theory and its recent generalisations (by T. Brzeziński and the author) to braided group gauge theory and coalgebra gauge theory. We outline the diagrammatic version of the braided case. The bosonisation of any braided group provides us a trivial principal bundle in three ways.

LA - eng

KW - bosonisation; gauge theory; connection; braided group; quantum group; fiber bundle; noncommutative geometry; fibre bundle; principal bundle

UR - http://eudml.org/doc/252224

ER -

## References

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- [11] Y. Doi, Equivalent crossed products for a Hopf algebra. Commun. Algebra, 17:3053-3085, 1989. Zbl0687.16008
- [12] S. Majid, Examples of braided groups and braided matrices. J. Math. Phys., 32:3246-3253, 1991. Zbl0821.16042
- [13] S. Majid, Quantum and braided linear algebra. J. Math. Phys., 34:1176-1196, 1993. Zbl0781.17005
- [14] 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, pages 231-282. World Sci., 1993.
- [15] S. Majid, Braided groups and algebraic quantum field theories. Lett. Math. Phys., 22:167-176, 1991. Zbl0745.16019
- [16] S. Majid, Cross products by braided groups and bosonization. J. Algebra, 163:165-190, 1994. Zbl0807.16036
- [17] S. Majid, Quantum and braided Lie algebras. J. Geom. Phys., 13:307-356, 1994. Zbl0821.17007
- [18] S. Majid, Quasi-* structure on q-Poincaré algebras. J. Geom. Phys., To appear, 1997. Zbl0882.16025

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