Non integrable representations of the restricted quantum analogue of sl(3) at roots of 1
Arnaudon, Daniel
arXiv, 9610025 / Harvested from arXiv
Text on arXiv
The structure of irreducible representations of (restricted) U_q(sl(3)) at roots of unity is understood within the Gelfand--Zetlin basis. The latter needs a weakened definition for non integrable representations, where the quadratic Casimir operator of the quantum subalgebra U_q(sl(2)) of U_q(sl(3)) is not completely diagonalized. This is necessary in order to take in account the indecomposable U_q(sl(2))-modules that appear. The set of redefined (mixed) states has a teepee shape inside the pyramid made with the whole representation.
Publié le : 1996-10-22
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics 
@article{9610025,
     author = {Arnaudon, Daniel},
     title = {Non integrable representations of the restricted quantum analogue of
  sl(3) at roots of 1},
     journal = {arXiv},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9610025}
}

Arnaudon, Daniel. Non integrable representations of the restricted quantum analogue of
  sl(3) at roots of 1. arXiv, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/9610025/