AbstractWe introduce the notion of Nakajima monomials for quantum generalized Kac–Moody algebras and construct the crystals B(∞) and B(λ) in terms of Nakajima monomials. We also give an explicit description of the Nakajima monomials in the crystals B(∞) and B(λ) for the rank 2 quantum generalized Kac–Moody algebras and for the quantum Monster algebra
AbstractWe provide a geometric realization of the crystal B(∞) for quantum generalized Kac–Moody alg...
International audienceWe study the crystal structure on categories of graded modules over algebras w...
AbstractWe study the crystal structure on categories of graded modules over algebras which categorif...
We introduce the notion of Nakajima monomials for quantum generalized Kac–Moody algebras and constru...
AbstractWe introduce the notion of Nakajima monomials for quantum generalized Kac–Moody algebras and...
We give new realizations of the crystal bases of the Verma modules and the irreducible highest weigh...
In this article, we introduce the notion of abstract crystals for quantum generalized Kac-Moody alge...
Using Nakajimas monomials, we construct a new realization of crystal bases for finite dimensional ir...
In this paper, we give a new realization of the crystal B(∞) using modified Nakajima monomials. For ...
In this article, we give two new realizations of the crystal base B(infinity) of the negative part U...
AbstractNakajima introduced a certain set of monomials realizing the irreducible highest weight crys...
In this paper, we develop the crystal basis theory for quantum generalized Kac–Moody algebras. For a...
We construct the set of extended Nakajima monomials containing monomials realizing the irreducible h...
We provide a geometric realization of the crystal B(∞) for quantum generalized Kac–Moody algebras in...
AbstractNakajima introduced a certain set of monomials realizing the irreducible highest weight crys...
AbstractWe provide a geometric realization of the crystal B(∞) for quantum generalized Kac–Moody alg...
International audienceWe study the crystal structure on categories of graded modules over algebras w...
AbstractWe study the crystal structure on categories of graded modules over algebras which categorif...
We introduce the notion of Nakajima monomials for quantum generalized Kac–Moody algebras and constru...
AbstractWe introduce the notion of Nakajima monomials for quantum generalized Kac–Moody algebras and...
We give new realizations of the crystal bases of the Verma modules and the irreducible highest weigh...
In this article, we introduce the notion of abstract crystals for quantum generalized Kac-Moody alge...
Using Nakajimas monomials, we construct a new realization of crystal bases for finite dimensional ir...
In this paper, we give a new realization of the crystal B(∞) using modified Nakajima monomials. For ...
In this article, we give two new realizations of the crystal base B(infinity) of the negative part U...
AbstractNakajima introduced a certain set of monomials realizing the irreducible highest weight crys...
In this paper, we develop the crystal basis theory for quantum generalized Kac–Moody algebras. For a...
We construct the set of extended Nakajima monomials containing monomials realizing the irreducible h...
We provide a geometric realization of the crystal B(∞) for quantum generalized Kac–Moody algebras in...
AbstractNakajima introduced a certain set of monomials realizing the irreducible highest weight crys...
AbstractWe provide a geometric realization of the crystal B(∞) for quantum generalized Kac–Moody alg...
International audienceWe study the crystal structure on categories of graded modules over algebras w...
AbstractWe study the crystal structure on categories of graded modules over algebras which categorif...