3 papers
math.RT2021
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…
math.QA2019
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…
math.QA2019
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…