Local Weyl modules and cyclicity of tensor products for Yangians of $G_2$

Abstract

Let $\mathfrak{g}$ be the exceptional complex simple Lie algebra of type $G_2$. We provide a concrete cyclicity condition for the tensor product of fundamental representations of the Yangian $Y(\mathfrak{g})$. Using this condition, we show that every local Weyl module is isomorphic to an ordered tensor product of fundamental representations of $Y(\mathfrak{g})$.

12 pages

References in corpus (3)

• Kirillov--Reshetikhin modules associated to G_2
• Local Weyl modules and cyclicity of tensor products for Yangians
• Characters and Blocks for Finite-Dimensional Representations of Quantum Affine Algebras