%0 Journal Article
%T An Explicit Description of the B(\infty) Crystal For Generalized Quantum Groups of a Family of Comet Quivers
%A Uma Roy
%A Seth Shelley-Abrahamson
%J Mathematics
%D 2015
%I arXiv
%X Tristan Bozec gave a definition of generalized quantum groups that extends the usual definition of quantum groups to finite quivers with loops at vertices, and he introduced a theory of generalized crystals for this new family of Hopf algebras. We explicitly characterize the generalized crystal $\mathcal{B}(\infty)$ associated to a certain family of quivers with multiple loops by providing a complete set of relations among the Kashiwara operators themselves.
%U http://arxiv.org/abs/1510.03086v1