Some quotient algebras arising
from the quantum toroidal algebra
$U_{q}(\mathit{sl}_{n+1}(\mathcal{C}_{\gamma}))$ ($n\geq 2$)

Miki, Kei

Some quotient algebras arising from the quantum toroidal algebra $U_{q}(\mathit{sl}_{n+1}(\mathcal{C}_{\gamma}))$ ($n\geq 2$)

Miki, Kei

Osaka J. Math., Tome 43 (2006) no. 2, p. 895-922 / Harvested from Project Euclid

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Résumé

Some quotient algebras arising from the quantum toroidal algebra $U_{q}(\mathit{sl}_{n+1}(\mathcal{C}_{\gamma}))$ ($n\ge 2$) are considered. They are related to integrable highest weight representations of the algebra and are shown to be isomorphic to tensor products of two algebras of symmetric Laurent polynomials and Macdonald's difference operators.

Publié le : 2006-12-14
Classification: 17B37, 17B67, 33D52

@article{1165850041,
     author = {Miki, Kei},
     title = {Some quotient algebras arising
from the quantum toroidal algebra
$U\_{q}(\mathit{sl}\_{n+1}(\mathcal{C}\_{\gamma}))$ ($n\geq 2$)},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 895-922},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1165850041}
}

Miki, Kei. Some quotient algebras arising
from the quantum toroidal algebra
$U_{q}(\mathit{sl}_{n+1}(\mathcal{C}_{\gamma}))$ ($n\geq 2$). Osaka J. Math., Tome 43 (2006) no. 2, pp.  895-922. http://gdmltest.u-ga.fr/item/1165850041/