4 papers
Freezing operators in representation theory of quantum loop algebras
Ryo Fujita, Fan Qin
We prove the Hernandez conjecture on the simple -characters (an analog of the Kazhdan--Lusztig conjecture) for untwisted quantum loop algebras of classical type. This result…
Inflations among quantum Grothendieck rings of type A
Ryo Fujita
We introduce a collection of injective homomorphisms among the quantum Grothendieck rings of finite-dimensional modules over the quantum loop algebras of type . In the…
Q-data and representation theory of untwisted quantum affine algebras
Ryo Fujita, Se-jin Oh
For a complex finite-dimensional simple Lie algebra , we introduce the notion of Q-datum, which generalizes the notion of a Dynkin quiver with a height function from…
Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality
Ryo Fujita
For a Dynkin quiver of type ADE and a sum of simple roots, we construct a bimodule over the quantum loop algebra and the quiver Hecke algebra of the corresponding type via…