12 citations · 21 across the 7 of their papers we have counts for
7 papers
Abstract Crystals for Quantum Generalized Kac-Moody Algebras
Kyeonghoon Jeong, Seok-Jin Kang, Masaki Kashiwara +1
In this paper, we introduce the notion of abstract crystals for quantum generalized Kac-Moody algebras and study their fundamental properties. We then prove the crystal embedding t…
Polyhedral realization of Crystal bases for Generalized Kac-Moody Algebras
Dong-Uy Shin
In this paper, we give polyhedral realization of the crystal of for the generalized Kac-Moody algebras. As applications, we give explicit descripti…
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 and monomials for -modules
Dong-Uy Shin
In this paper, we give a new realization of crystal bases for irreducible highest weight modules over in terms of monomials. We also discuss the natural connection betwe…
Correspondence between Young walls and Young tableaux realizations of crystal bases for the classical Lie algebras
Jeong-Ah Kim, Dong-Uy Shin
We give a 1-1 correspondence with the Young wall realization and the Young tableau realization of the crystal bases for the classical Lie algebras.
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…