Classification of the GL(3) Quantum Matrix Groups
Ewen, Holger ; Ogievetsky, Oleg
HAL, hal-00473314 / Harvested from HAL
Text on HAL
We define quantum matrix groups GL(3) by their coaction on appropriate quantum planes and the requirement that the Poincare series coincides with the classical one. It is shown that this implies the existence of a Yang-Baxter operator. Exploiting stronger equations arising at degree four of the algebra, we classify all quantum matrix groups GL(3). We find 26 classes of solutions, two of which do not admit a normal ordering. The corresponding R-matrices are given.
Publié le : 1994-12-21
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 
@article{hal-00473314,
     author = {Ewen, Holger and Ogievetsky, Oleg},
     title = {Classification of the GL(3) Quantum Matrix Groups},
     journal = {HAL},
     volume = {1994},
     number = {0},
     year = {1994},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00473314}
}

Ewen, Holger; Ogievetsky, Oleg. Classification of the GL(3) Quantum Matrix Groups. HAL, Tome 1994 (1994) no. 0, . http://gdmltest.u-ga.fr/item/hal-00473314/