Yilan Tan

activity

20142022

most citedLocal Weyl modules and cyclicity of tensor products for Yangians

14 citations · 18 across the 5 of their papers we have counts for

collaborators

5 papers

math.RT2022

Simple weight modules for Yangian $Y (sl_{2})$

Yikun Zhou, Yilan Tan, Limeng Xia

Let $g$ be a finite-dimensional simple Lie algebra over $C$ . A $Y (g)$ -module is said to be weight if it is a weight $g$ -mod…

math.RT2015★ 3 cited

Braid group actions and tensor products for Yangians

Yilan Tan

We introduce a braid group action on $l$ -tuple of rational functions for the finite-dimensional representations of Yangians $Y (g)$ , where $g$ is a complex sim…

math.RT2015★ 14 cited

Local Weyl modules and cyclicity of tensor products for Yangians

Yilan Tan, Nicolas Guay

We provide a sufficient condition for the cyclicity of an ordered tensor product $L = V_{a_{1}} (ω_{b_{1}}) \otimes V_{a_{2}} (ω_{b_{2}}) \otimes ... \otimes V_{a_{k}} (ω_{b_{k}})$ of fundamental repre…

math.RT2015

Local Weyl modules and cyclicity of tensor products for Yangians of $G_{2}$

Yilan Tan

Let $g$ 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 t…

math.RT2014★ 1 cited

Finite-dimensional Representations of Yangians

Tan Yilan

In this thesis, we study the cyclicity condition for an ordered tensor product of fundamental representations and the local Weyl modules of Yangians. We provide a sufficient condit…

Simple weight modules for Yangian Y(sl2​)

Braid group actions and tensor products for Yangians

Local Weyl modules and cyclicity of tensor products for Yangians

Local Weyl modules and cyclicity of tensor products for Yangians of G2​

Finite-dimensional Representations of Yangians

Simple weight modules for Yangian $Y (sl_{2})$

Local Weyl modules and cyclicity of tensor products for Yangians of $G_{2}$