Perfect Crystals for U_q(D_4^{(3)})

Masaki Kashiwara; Kailash C. Misra; Masato Okado; Daisuke Yamada

doi:10.1016/j.jalgebra.2007.02.021

Perfect Crystals for U_q(D_4^{(3)})

量子代数 2008-11-26 v1 表示论

作者: Masaki Kashiwara , Kailash C. Misra , Masato Okado , Daisuke Yamada

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摘要

A perfect crystal of any level is constructed for the Kirillov-Reshetikhin module of $U_q(D_4^{(3)})$ corresponding to the middle vertex of the Dynkin diagram. The actions of Kashiwara operators are given explicitly. It is also shown that this family of perfect crystals is coherent. A uniqueness problem solved in this paper can be applied to other quantum affine algebras.

关键词

crystal bases

引用

@article{arxiv.math/0610873,
  title  = {Perfect Crystals for U_q(D_4^{(3)})},
  author = {Masaki Kashiwara and Kailash C. Misra and Masato Okado and Daisuke Yamada},
  journal= {arXiv preprint arXiv:math/0610873},
  year   = {2008}
}

备注

27 pages

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