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S. Majid (1994)
Cross Products by Braided Groups and BosonizationJournal of Algebra, 163
M. Schlieker, W. Weich, R. Weixler (1992)
Inhomogeneous quantum groupsZeitschrift für Physik C Particles and Fields, 53
S. Majid (1990)
Quasitriangular Hopf Algebras and Yang-Baxter EquationsInternational Journal of Modern Physics A, 05
B. Drabant (1994)
Braided Supersymmetry and (CO-)HOMOLOGYarXiv: High Energy Physics - Theory
(1994)
Available via anonymous ftp or gopher from FTP.ESI.AC.ATDAMTP/94-66 ∗-STRUCTURES ON BRAIDED SPACES
L. Faddeev, N. Reshetikhin, L. Takhtajan (1987)
Quantization of Lie Groups and Lie Algebras, 1
S. Lane (1971)
Categories for the Working Mathematician
U. Carow-Watamura, M. Schlieker, S. Watamura, W. Weich (1991)
Bicovariant differential calculus on quantum groupsSUq(N) andSOq(N)Communications in Mathematical Physics, 142
S. Majid (1993)
Transmutation theory and rank for quantum braided groupsMathematical Proceedings of the Cambridge Philosophical Society, 113
S. Majid (1993)
Braided groupsJ. Pure Appl. Algebra, 86
B. Drabant, M. Schlieker, W. Weich, B. Zumino (1992)
Complex quantum groups and their quantum enveloping algebrasCommunications in Mathematical Physics, 147
U. Carow-Watamura, M. Schlieker, M. Scholl, S. Watamura (1990)
Tensor representation of the quantum groupSLq(2,C) and quantum Minkowski spaceZeitschrift für Physik C Particles and Fields, 48
S. Majid (1992)
BRAIDED MOMENTUM IN THE Q-POINCARE GROUPJournal of Mathematical Physics, 34
We consider quasitriangular Hopf algebras in braided tensor categories introduced by Majid. It is known that a quasitriangular Hopf algebra H in a braided monoidal category C induces a braiding in a full monoidal subcategory of the category of H-modules in C. Within this subcategory, a braided version of the bosonization theorem with respect to the category C will be proved. An example of braided monoidal categories with quasitriangular structure deviating from the ordinary case of symmetric tensor categories of vector spaces is provided by certain braided supersymmetric tensor categories. Braided inhomogeneous quantum groups like the dilaton free q-Poincaré group are explicit applications.
Acta Applicandae Mathematicae – Springer Journals
Published: May 14, 2004
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