8 citations · 9 across the 5 of their papers we have counts for
6 papers
On a determinant formula for some real regular representations
Léa Bittmann
We interpret a formula established by Lapid-M\'ınguez on real regular representations of over a local non-archimedean field as a matrix determinant. We use the Lewis C…
On the simplicity of the tensor product of two simple modules of quantum affine algebras
Léa Bittmann, Jian-Rong Li
Lapid and Mínguez gave a criterion of the irreducibility of the parabolic induction , where is a ladder representation and is an arbitrary irreducible representa…
Type DAHA and Doubly Periodic Tableaux
Léa Bittmann, Alex Chandler, Anton Mellit +1
Analogously to the construction of Suzuki and Vazirani, we construct representations of the -type Double Affine Hecke Algebra at roots of unity. These representations are gra…
A quantum cluster algebra approach to representations of simply-laced quantum affine algebras
Léa Bittmann
We establish a quantum cluster algebra structure on the quantum Grothendieck ring of a certain monoidal subcategory of the category of finite-dimensional representations of a simpl…
Quantum Grothendieck rings as quantum cluster algebras
Léa Bittmann
We define and construct a quantum Grothendieck ring for a certain monoidal subcategory of the category of representations of the quantum loop algebra introduced by He…
Asymptotics of standard modules of quantum affine algebras
Léa Bittmann
We introduce a sequence of -characters of standard modules of a quantum affine algebra and we prove it has a limit as a formal power series. For $\mathfrak{g}=\hat{\mathfrak{sl}…