12 citations · 13 across the 5 of their papers we have counts for
5 papers
On the integral form of rank 1 Kac-Moody algebras
Ilaria Damiani, Margherita Paolini
In this paper we shall prove that the subalgebra generated over the integers by the divided powers of the Drinfeld generators of the Kac-Moody algebra of type $A_2^{(2)…
From the Drinfeld realization to the Drinfeld-Jimbo presentation of affine quantum algebras: the injectivity
Ilaria Damiani
In this paper the surjective homomorphism from the Drinfeld realization to the Drinfeld and Jimbo presentation of affine quantum algebras is proved to be injective. A consequence o…
Drinfeld Realization of Affine Quantum Algebras: The Relations
Ilaria Damiani
In this paper the structure of the Drinfeld realization $\Udr_q$ of affine quantum algebras (both untwisted and twisted) is described in details, and its defining relations are stu…
The center of twisted affine quantum algebras at odd roots of 1
Ilaria Damiani
This paper focuses on twisted affine quantum algebras: an integer form is chosen, and the center of its specialization at odd roots of 1 (of order bigger than 3 in case D_4^{(3)},…
The R-matrix for (twisted) affine quantum algebras
Ilaria Damiani
In this paper an exponential multiplicative formula for the R-matrix is provided for the twisted affine quantum algebras.