Some quotient algebras arising from the quantum toroidal algebra $U_{q}(sl_2(\mathcal{C}_{\gamma}))$
Miki, Kei
Osaka J. Math., Tome 42 (2005) no. 1, p. 885-929 / Harvested from Project Euclid
Some quotient algebras arising from the quantum toroidal algebra $U_{q}(\mathit{sl}_{2}(\mathcal{C}_{\gamma}))$ are considered. They are related to integrable highest weight representations of the algebra and are shown to be isomorphic to direct sums of tensor products of two algebras of symmetric Laurent polynomials and Macdonald's difference operators.
Publié le : 2005-12-14
Classification: 
@article{1153494557,
     author = {Miki, Kei},
     title = {Some quotient algebras arising from the quantum toroidal algebra $U\_{q}(sl\_2(\mathcal{C}\_{\gamma}))$},
     journal = {Osaka J. Math.},
     volume = {42},
     number = {1},
     year = {2005},
     pages = { 885-929},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1153494557}
}
Miki, Kei. Some quotient algebras arising from the quantum toroidal algebra $U_{q}(sl_2(\mathcal{C}_{\gamma}))$. Osaka J. Math., Tome 42 (2005) no. 1, pp.  885-929. http://gdmltest.u-ga.fr/item/1153494557/