Seok‐Jin Kang

most citedCanonical bases for quantum generalized Kac-Moody algebra

1 citations · 1 across the 4 of their papers we have counts for

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4 papers

math.QA2004

Crystal bases of the Fock space representations and string functions

Seok-Jin Kang, Jae-Hoon Kwon

Let $U_{q} (g)$ a the quantum affine algebra of type $A_{n}^{(1)}$ , $A_{2 n - 1}^{(2)}$ , $A_{2 n}^{(2)}$ , $B_{n}^{(1)}$ , $D_{n}^{(1)}$ and $D_{n + 1}^{(2)}$ , and let $F (Λ)$ be th…

math.QA2003★ 1 cited

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…

math.QA2003

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 $B (λ)$ for quantum affine algebras of type $A_n^{(1)}…

math.QA2003

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…