S-Space College of Natural Sciences (자연과학대학) Dept. of Mathematical Sciences (수리과학부) Journal Papers (저널논문_수리과학부)
Fock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithm
- Kang, Seok-Jin; Kwon, Jae-Hoon
- Issue Date
- 대한수학회 = The Korean Mathematical Society
- J. Korean Math. Soc. 45 (2008), no. 4, 1135-1202
- We construct the Fock space representations of classical quantum affine algebras using combinatorics of Young walls. We also show that the crystal graphs of the Fock space representations can be realized as the abstract crystal consisting of proper Young walls. Finally, we give a generalized version of Lascoux-Leclerc-Thibon algorithm for computing the global bases of the basic representations of classical quantum affine algebras.