2 citations · 3 across the 4 of their papers we have counts for
4 papers
Tensor Product of the Fundamental Representations for the Quantum Loop Algebras of Type A at Roots of Unity
Yuuki Abe
In this paper, we consider the necessary and sufficient conditions for the tensor product of the fundamental representations for the restricted quantum loop algebras of type A at r…
Inductive Construction of Nilpotent Modules of Quantum Groups at Roots of Unity
Yuuki Abe
The purpose of this paper is to prove that we can construct all finite dimensional irreducible nilpotent modules of type 1 inductively by using Schnizer homomorphisms for quantum a…
Evaluation representations of quantum affine algebras at roots of unity
Yuuki Abe, Toshiki Nakashima
The purpose of this paper is to compute the Drinfel'd polynomials for two types of evaluation representations of quantum affine algebras at roots of unity and construct those repre…
Nilpotent representations of classical quantum groups at roots of unity
Yuuki Abe, Toshiki Nakashima
Properly specializing the parameters in ``Schnizer modules'', for type A,B,C and D, we get its unique primitive vector. Then we show that the module generated by the primitive vect…