In this paper, we give an overview of the classical Temperley-Lieb algebra, reviewing some of the basic results about the algebra. Then we will discuss the construction of the generalized Temperley-Lieb algebras from Coxeter groups, and the connection between fully commutative elements of the Coxeter group and the reduced elements of the corresponding Temperley-Lieb algebra. Finally, we will look at the diagrammatic representations of some finite-dimensional Temperley-Lieb algebras, specifically those of type B, D and E, and describe their bases
The Temperley-Lieb algebras have been used in a wide variety of applications, from topological quant...
An element of a Coxeter group is fully commutative if any two of its reduced decompositions are rela...
An element of a Coxeter group is fully commutative if any two of its reduced decompositions are rela...
In this paper, we give an overview of the classical Temperley-Lieb algebra, reviewing some of the ba...
We give presentations, by means of diagrammatic generators and relations, of the analogues of the Te...
A class of associative algebras called cyclotomic Temperley-Lieb algebras is introduced in terms of ...
This paper gives an introduction to Temperley-Lieb algebra that is easily accessible to undergraduat...
A class of associative algebras called cyclotomic Temperley-Lieb algebras is introduced in terms of ...
We define an idempotent of the Temperley-Lieb algebra of any finite Coxeter system, which reduces, i...
We define an idempotent of the Temperley-Lieb algebra of any finite Coxeter system, which reduces, i...
We define an idempotent of the Temperley-Lieb algebra of any finite Coxeter system, which reduces, i...
We define an idempotent of the Temperley-Lieb algebra of any finite Coxeter system, which reduces, i...
We define an idempotent of the Temperley-Lieb algebra of any finite Coxeter system, which reduces, i...
Explicit expressions for the Temperley-Lieb-Martin algebras, i.e. the quotients of the Hecke algebra...
. We study the finite-dimensional simple modules, over an algebraically closed field, of the affine ...
The Temperley-Lieb algebras have been used in a wide variety of applications, from topological quant...
An element of a Coxeter group is fully commutative if any two of its reduced decompositions are rela...
An element of a Coxeter group is fully commutative if any two of its reduced decompositions are rela...
In this paper, we give an overview of the classical Temperley-Lieb algebra, reviewing some of the ba...
We give presentations, by means of diagrammatic generators and relations, of the analogues of the Te...
A class of associative algebras called cyclotomic Temperley-Lieb algebras is introduced in terms of ...
This paper gives an introduction to Temperley-Lieb algebra that is easily accessible to undergraduat...
A class of associative algebras called cyclotomic Temperley-Lieb algebras is introduced in terms of ...
We define an idempotent of the Temperley-Lieb algebra of any finite Coxeter system, which reduces, i...
We define an idempotent of the Temperley-Lieb algebra of any finite Coxeter system, which reduces, i...
We define an idempotent of the Temperley-Lieb algebra of any finite Coxeter system, which reduces, i...
We define an idempotent of the Temperley-Lieb algebra of any finite Coxeter system, which reduces, i...
We define an idempotent of the Temperley-Lieb algebra of any finite Coxeter system, which reduces, i...
Explicit expressions for the Temperley-Lieb-Martin algebras, i.e. the quotients of the Hecke algebra...
. We study the finite-dimensional simple modules, over an algebraically closed field, of the affine ...
The Temperley-Lieb algebras have been used in a wide variety of applications, from topological quant...
An element of a Coxeter group is fully commutative if any two of its reduced decompositions are rela...
An element of a Coxeter group is fully commutative if any two of its reduced decompositions are rela...