pith. sign in

arxiv: 1411.0562 · v2 · pith:W5ANF3SNnew · submitted 2014-11-03 · 🧮 math.QA

Representations of quantum affine algebras of type B_N

classification 🧮 math.QA
keywords typeaffinealgebrascharactersonlyquantumrepresentationscartan
0
0 comments X
read the original abstract

We study finite-dimensional representations of quantum affine algebras of type $B_N$. We show that a module is tame if and only if it is thin. In other words, the Cartan currents are diagonalizable if and only if all joint generalized eigenspaces have dimension one. We classify all such modules and describe their $q$-characters. In some cases, the $q$-characters are described by super standard Young tableaux of type $(2N|1)$.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.