activity
20042016
most citedTensor products, characters, and blocks of finite-dimensional representations of quantum affine algebras at roots of unity

10 citations · 15 across the 8 of their papers we have counts for

collaborators

8 papers

math.RT2016★ 2 cited

Limits of Multiplicities in Excellent Filtrations and Tensor Product Decompositions for Affine Kac-Moody Algebras

Dijana Jakelić, Adriano Moura

We express the multiplicities of the irreducible summands of certain tensor products of irreducible integrable modules for an affine Kac-Moody algebra over a simply laced Lie algeb…

math.QA2009★ 10 cited

Tensor products, characters, and blocks of finite-dimensional representations of quantum affine algebras at roots of unity

Dijana Jakelic, Adriano Moura

We establish several results concerning tensor products, q-characters, and the block decomposition of the category of finite-dimensional representations of quantum affine algebras…

math.RT2008

Structure of T modules and restricted duals: the classical and the quantum case

Dijana Jakelic

A concrete realization of Enright's modules is obtained. This is used to show their self-duality. As a consequence, the restricted duals of Verma modules are also identified.

math.RT2008

On multiplicity problems for finite-dimensional representations of hyper loop algebras

Dijana Jakelic, Adriano Moura

Given a hyper loop algebra over a non-algebraically closed field, we address multiplicity problems in the underlying abelian tensor category of finite-dimensional representations.…

math.RT2007★ 2 cited

Finite-Dimensional Representations of Hyper Loop Algebras Over Non-Algebraically Closed Fields

Dijana Jakelic, Adriano Moura

We study finite-dimensional representations of hyper loop algebras over non-algebraically closed fields. The main results concern the classification of the irreducible representati…

math.RT2006

Finite-Dimensional Representations of Hyper Loop Algebras

Dijana Jakelic, Adriano Moura

We study finite-dimensional representations of hyper loop algebras, i.e., the hyperalgebras over an algebraically closed field of positive characteristic associated to the loop alg…