We study the geometry and topology of Hilbert schemes of points on the orbifold surface,
respectively the singular quotient surface, where is a finite subgroup of type A or D. We give …

Let U q (g) be the quantum affine algebra of type An (1), A2n− 1 (2), A2n (2), Bn (1), Dn (1),
and Dn+ 1 (2), and let F (Λ) be the Fock space representation for a level 1 dominant integral …

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 …

We provide a unified approach to the Young wall description of crystal graphs for arbitrary
level irreducible highest weight representations over classical quantum affine algebras. The …

arXiv:math/0307085v2 [math.QA] 14 Jul 2003 Page 1 arXiv:math/0307085v2 [math.QA] 14
Jul 2003 FOCK SPACE REPRESENTATIONS AND CRYSTAL BASES FOR C (1) n …

In Refs. 11, 12, and 17, the crystal basis theory or canonical basis theory for the integrable
modules over quantum groups Uq g was developed by Kashiwara and Lusztig …

We study the geometry and topology of Hilbert schemes of points on the orbifold surface [C^
2/G], respectively the singular quotient surface C^ 2/G, where G is a finite subgroup of SL (2 …

Affine crystal graphs and two-colored partitions Page 1 DOI 10.1007/s11005-005-0030-x
Letters in Mathematical Physics (2006) 75:171–186 © Springer 2006 Affine crystal graphs and …

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 …

Fock space representations for the quantum affine Page 118 http://dx. doi. org/10.1090/conm/325/05667
Contemporary Mathematics Volume 325, 2003 Fock space representations for the quantum …