The Yang-Baxter and pentagon equation

A. Van Daele; S. Van Keer

Compositio Mathematica (1994)

  • Volume: 91, Issue: 2, page 201-221
  • ISSN: 0010-437X

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Van Daele, A., and Van Keer, S.. "The Yang-Baxter and pentagon equation." Compositio Mathematica 91.2 (1994): 201-221. <http://eudml.org/doc/90289>.

@article{VanDaele1994,
author = {Van Daele, A., Van Keer, S.},
journal = {Compositio Mathematica},
keywords = {Yang-Baxter equation; finite-dimensional *-Hopf algebra; quantum double; Pentagon equation},
language = {eng},
number = {2},
pages = {201-221},
publisher = {Kluwer Academic Publishers},
title = {The Yang-Baxter and pentagon equation},
url = {http://eudml.org/doc/90289},
volume = {91},
year = {1994},
}

TY - JOUR
AU - Van Daele, A.
AU - Van Keer, S.
TI - The Yang-Baxter and pentagon equation
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 91
IS - 2
SP - 201
EP - 221
LA - eng
KW - Yang-Baxter equation; finite-dimensional *-Hopf algebra; quantum double; Pentagon equation
UR - http://eudml.org/doc/90289
ER -

References

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  4. 4 M. Jimbo, Introduction to the Yang-Baxter equation. Int. J. of Modern Physics4 (1989) 3759-3777. Zbl0697.35131MR1017340
  5. 5 T. Koomwinder, Seminar notes, Amsterdam (1991). 
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  8. 8 S. Majid, More examples of bicrossproduct and double cross product Hopf algebras. Israel Journal of Mathematics72, Nos. 1-2, (1990), 133-148. Zbl0725.17015MR1098985
  9. 9 S. Majid, Hopf-von Neumann Algebra Bicrossproducts, Kac algebra Bicrossproducts, and the Classical Yang-Baxter Equations. Journal of Functional Analysis95 (1991), 291-319. Zbl0741.46033MR1092128
  10. 10 P. Podleś and S.L. Woronowicz, Quantum deformation of Lorentz group. Commun. Math. Phys.130 (1990), 381-431. Zbl0703.22018MR1059324
  11. 11 G. Skandalis, Operator Algebras and Duality. Proceedings of the ICM Kyoto (1990), 997-1009. Zbl0819.46054MR1159285
  12. 12 M.E. Sweedler, Hopf Algebras. Mathematical Lecture Note Series. Benjamin. N.Y., 1969. Zbl0194.32901MR252485
  13. 13 M. Takeuchi, Matched pairs of groups and bismash products of Hopf algebras. Communications in Algebra9(8) (1981), 841-882. Zbl0456.16011MR611561
  14. 14 A. Van Daele, Dual pairs of Hopf *-algebras. K. U. Leuven, preprint (1990) (first version), Bull. London Math. Soc.25 (1993) 209-230 (second version). Zbl0796.16034MR1209245
  15. 15 S.L. Woronowicz, Compact Matrix Pseudogroups. Comm. Math. Physics111 (1987), 613-665. Zbl0627.58034MR901157
  16. 16 S.L. Woronowicz, Unbounded elements affiliated with C*-algebras and non-compact quantum groups. University of Kyoto, preprint (to appear in Commun. Math. Phys.). Zbl0743.46080MR1096123
  17. 17 S.L. Woronowicz, Solutions of the braid equation related to a Hopf algebra. University of Warsaw, preprint (1991). Zbl0745.16021MR1148506

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