2 papers
math.QA2016
Canonical bases for the quantum enveloping algebra of gl(m|1) and its modules
Sean Clark
We construct a crystal basis for the negative half of the quantum group U associated to the standard super Cartan datum of gl(m|1), which is compatible with known crystals on Kac m…
math.RT2013
Super tableaux and a branching rule for the general linear Lie superalgebra
Sean Clark, Yung-Ning Peng, Sittipong Thamrongpairoj
In this note, we formulate and prove branching rules of simple polynomial modules for the Lie superalgebra . Our branching rules depend on the conjugacy class o…