We determine the Gröbner–Shirshov bases for finite-dimensional irreducible rep-resentations of the special linear Lie algebra sln+1 and construct explicit monomial bases for these representations. We also show that each of these monomial bases is in 1–1 correspondence with the set of semistandard Young tableaux of a given shape
In \cite{W}, there is a graphic description of any irreducible, finite dimensional $\mathfrak{sl}(3)...
In \cite{W}, there is a graphic description of any irreducible, finite dimensional $\mathfrak{sl}(3)...
WOS:000290504200019The main goal of this paper is to define Grobner-Shirshov bases for some monoids....
AbstractWe determine the Gröbner–Shirshov bases for finite-dimensional irreducible representations o...
We give a new realization of crystal bases for finite-dimensional irreducible modules over special l...
AbstractWe construct a basis for irreducible representations of the complex Lie algebra sLn + 1. The...
ABSTRACT. In this article, we give a new realization of crystal bases for finite dimensional irreduc...
AbstractWe construct a basis for irreducible representations of the complex Lie algebra sLn + 1. The...
AbstractWe give a new realization of crystal bases for finite-dimensional irreducible modules over s...
AbstractIn this paper, we establish the Gröbner-Shirshov bases theory for metabelian Lie algebras. A...
In this paper, we investigate the structure of Ariki–Koike algebras and their Specht modules using G...
For any semisimple real Lie algebra gR, we classify the representations of gR that have at least one...
Abstract. In this paper, we give a new realization of crystal bases for nite-dimensional irreducible...
Abstract. In this paper, we review Shirshov’s method for free Lie algebras invented by him in 1962 [...
AbstractThe main goal of this paper is to define Gröbner–Shirshov bases for some monoids. Therefore,...
In \cite{W}, there is a graphic description of any irreducible, finite dimensional $\mathfrak{sl}(3)...
In \cite{W}, there is a graphic description of any irreducible, finite dimensional $\mathfrak{sl}(3)...
WOS:000290504200019The main goal of this paper is to define Grobner-Shirshov bases for some monoids....
AbstractWe determine the Gröbner–Shirshov bases for finite-dimensional irreducible representations o...
We give a new realization of crystal bases for finite-dimensional irreducible modules over special l...
AbstractWe construct a basis for irreducible representations of the complex Lie algebra sLn + 1. The...
ABSTRACT. In this article, we give a new realization of crystal bases for finite dimensional irreduc...
AbstractWe construct a basis for irreducible representations of the complex Lie algebra sLn + 1. The...
AbstractWe give a new realization of crystal bases for finite-dimensional irreducible modules over s...
AbstractIn this paper, we establish the Gröbner-Shirshov bases theory for metabelian Lie algebras. A...
In this paper, we investigate the structure of Ariki–Koike algebras and their Specht modules using G...
For any semisimple real Lie algebra gR, we classify the representations of gR that have at least one...
Abstract. In this paper, we give a new realization of crystal bases for nite-dimensional irreducible...
Abstract. In this paper, we review Shirshov’s method for free Lie algebras invented by him in 1962 [...
AbstractThe main goal of this paper is to define Gröbner–Shirshov bases for some monoids. Therefore,...
In \cite{W}, there is a graphic description of any irreducible, finite dimensional $\mathfrak{sl}(3)...
In \cite{W}, there is a graphic description of any irreducible, finite dimensional $\mathfrak{sl}(3)...
WOS:000290504200019The main goal of this paper is to define Grobner-Shirshov bases for some monoids....