nLab
quantum affine algebra

Related concepts

• affine Lie algebra

• quantum group

References

Ordinary

• Igor Frenkel, Naihuan Jing, Vertex representations of quantum affine algebras, Proc. Nat’l. Acad. Sci. USA 85 (1988) , 9373–9377.

• Naihuan Jing, Twisted vertex representations of quantum affine algebras, Invent. Math. 102 (1990), 663–690.

• Naihuan Jing, Quantum Kac-Moody Algebras and Vertex Representations (arXiv:math/9802036)

Categorified

Discussion of categorification of quantum Kac-Moody algebras is in:

• Raphael Rouquier, 2-Kac-Moody algebras (arXiv:0812.5023)

• Aaron Lauda, Diagrammatic categorification of quantum groups III: categorifying quantum Kac-Moody algebras (2010) (pdf)

• Seok-Jin Kang, Se-jin Oh, Euiyong Park, Categorification of Quantum Generalized Kac-Moody Algebras and Crystal Bases (arXiv:1102.5165)

• David Hill, Weiqiang Wang, Categorification of quantum Kac-Moody superalgebras (arXiv:1202.2769)