English

Quantum Queer Superalgebra and Crystal Bases

Quantum Algebra 2015-12-25 v2 Representation Theory

Abstract

In this paper, we develop the crystal basis theory for the quantum queer superalgebra \Uq\Uq. We define the notion of crystal bases, describe the tensor product rule, and present the existence and uniqueness of crystal bases for finite-dimensional \Uq\Uq-modules in the category Oint0\mathcal{O}_{int}^{\ge 0}.

Keywords

Cite

@article{arxiv.1007.4105,
  title  = {Quantum Queer Superalgebra and Crystal Bases},
  author = {Dimitar Grantcharov and Ji Hye Jung and Seok-Jin Kang and Masaki Kashiwara and Myungho Kim},
  journal= {arXiv preprint arXiv:1007.4105},
  year   = {2015}
}

Comments

11pages, 3 figures

R2 v1 2026-06-21T15:52:11.720Z