Irreducible Modules for the Quantum Affine Algebra $U_q(g)$ and its Borel subalgebra $U_q(g)^{\geq 0}$

John Bowman

paper

Irreducible Modules for the Quantum Affine Algebra $U_{q} (g)$ and its Borel subalgebra $U_{q} (g)^{\geq 0}$

arXiv:math/0606627

Abstract

We prove a bijection between finite-dimensional irreducible modules for an arbitrary quantum affine algebra $U_{q} (g)$ and finite-dimensional irreducible modules for its Borel subalgebra $U_{q} (g)^{\geq 0}$ .

24 pages

References in corpus (1)

Quantum Affine Algebras and their Representations

Irreducible Modules for the Quantum Affine Algebra Uq​(g) and its Borel subalgebra Uq​(g)≥0

Abstract

References in corpus (1)

Irreducible Modules for the Quantum Affine Algebra $U_{q} (g)$ and its Borel subalgebra $U_{q} (g)^{\geq 0}$