Colored braid matrices from infinite dimensional representations of U-q(g)

Dec 28, 1991
23 pages
Published in:
  • Mod.Phys.Lett.A 7 (1992) 767-780
Report number:
  • PRINT-91-0506-REV (TOKYO),
  • PRINT-91-0506 (TOKYO)

Citations per year

19921997200220072010102
Abstract: (WSP)
From a new infinite-dimensional representation of the universal R-matrix of Uq(sl(2,C)){\rm U}_q({\rm sl}(2,{\mathbb C})), we derive the colored braid matrices which gave generalizations of the multivariable Alexander polynomial. We propose color representations of Uq(g). We construct colored vertex models from the color representations of Uq(s^l(2,C)){\rm U}_q(\hat{\rm s}{\rm l}(2,{\mathbb C})).
Note:
  • Revised version
  • braid group: color
  • quantum group: SL(2,C)
  • model: vertex
  • algebra: representation
  • algebra: R-matrix