References
- Hong, J., Kang, S.-J. (2002). Introduction to quantum groups and crystal bases, Graduate Studies in Mathematics, Vol. 42. Providence, RI: Amer. Math. Soc.
- Ishii, M., Naito, S., Sagaki, D. (2016). Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras. Adv. Math. 290:967–1009. DOI: https://doi.org/10.1016/j.aim.2015.11.037.
- Joseph, A. (1995). Quantum groups and their primitive ideals. In Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 29. Berlin, Germany: Springer-Verlag.
- Kashiwara, M. (1994). Crystal bases of modified quantized enveloping algebra. Duke Math. J. 73(2):383–413. DOI: https://doi.org/10.1215/S0012-7094-94-07317-1.
- Kashiwara, M. (1996). Similarity of crystal bases. In Lie Algebras and Their Representation, Vol. 194. Providence, RI: Amer. Math. Soc., Contemp. Math., pp. 177–186
- Naito, S., Sagaki, D. (2003). Path model for a level-zero extremal weight module over a quantum affine algebra. Internat. Math. Res. Notices 2003(32):1731–1754. DOI: https://doi.org/10.1155/S1073792803212216.
- Naito, S., Sagaki, D. (2006). Path model for a level-zero extremal weight module over a quantum affine algebra II. Adv. Math. 200(1):102–124. DOI: https://doi.org/10.1016/j.aim.2004.08.016.
- Littelmann, P. (1994). A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras. Invent. Math. 116(1):329–346. DOI: https://doi.org/10.1007/BF01231564.
- Littelmann, P. (1995). Paths and root operators in representation theory. Ann. of Math. 142(3):499–525. DOI: https://doi.org/10.2307/2118553.
- Sagaki, D., Yu, D. (2018). Path model for an extremal weight module over the quantized hyperbolic Kac-Moody algebra of rank 2. To appear in Commun. Algebra arXiv:1712.01009.
- Yu, D. (2018). Lakshmibai-Seshadri paths for hyperbolic Kac-Moody algebras of rank 2. Commun. Algebra 46(6):2702–2713. DOI: https://doi.org/10.1080/00927872.2017.1399408.
- Okawa, K. (2019). Disconnected Lakshmibai-Seshadri path crystals for rank 2 Kac-Moody algebras [master thesis (Japanese)]. University of Tsukuba.