114 citations · 510 across the 61 of their papers we have counts for
5 papers · 1 filter
Canonical bases for quantum generalized Kac-Moody algebra
Seok-Jin Kang, Olivier Schiffmann
We construct a canonical basis for quantum generalized Kac-Moody algebra via semisimple perverse sheaves on varieties of representations of quivers. We compare this basis with the…
Higher level affine crystals and Young walls
Seok-Jin Kang, Hyeonmi Lee
Using combinatorics of Young walls, we give a new realization of arbitrary level irreducible highest weight crystals for quantum affine algebras of type $A_n^{(1)}…
Young Wall Realization of Crystal Bases for Classical Lie Algebras
Seok-Jin Kang, Jeong-Ah Kim, Hyeonmi Lee +1
In this paper, we give a new realization of crystal bases for finite dimensional irreducible modules over classical Lie algebras. The basis vectors are parameterized by certain You…
Crystal Bases for Quantum Generalized Kac-Moody Algebras
Kyeonghoon Jeong, Seok-Jin Kang, Masaki Kashiwara
In this paper, we develop the crystal basis theory for quantum generalized Kac-Moody algebras. For a quantum generalized Kac-Moody algebra , we first introduce th…
Monomial Relization of Crystal Bases for Special Linear Lie Algebras
Seok-Jin Kang, Jeong-Ah Kim, Dong-Uy Shin
We give a new realization of crystal bases for finite dimensional irreducible modules over special linear Lie algebras using the monomials introduced by H. Nakajima. We also discus…