Crystal graphs of irreducible U_v(hat{sl}_e)-modules of level two and Uglov bipartitions
classification
🧮 math.RT
math.QA
keywords
bipartitionscrystalgraphsirreduciblelevelmodulesuglovalgebras
read the original abstract
We give a simple description of the natural bijection between the set of FLOTW bipartitions and the set of Uglov bipartitions (which generalizes the set of Kleshchev bipartitions). These bipartitions, which label the crystal graphs of irreducible $\mathcal{U}\_v({\hat{\mathfrak{sl}}\_e})$-modules of level two, naturally appear in the context of the modular representation theory of Hecke algebras of type $B\_n$.
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.