Quantum Queer Superalgebra and Crystal Bases

Details Quantum Queer Superalgebra and Crystal Bases Quantum Queer Superalgebra and Crystal Bases

2010-07-23

arxiv.org/abs/1007.4105v2

Proceedings of the Japan Academy, vol 86, Ser. A, No. 10 (2010), 177-182

Mathematics

Quantum Algebra

11pages, 3 figures

Scientific paper

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

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