∞-Lie theory (higher geometry)
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Homotopy
Related topics
Examples
-Lie groupoids
-Lie groups
-Lie algebroids
-Lie algebras
symmetric monoidal (∞,1)-category of spectra
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)
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)
Last revised on August 8, 2019 at 15:27:36. See the history of this page for a list of all contributions to it.