AbstractLet U be the quantised enveloping algebra associated to a Cartan matrix of finite type. Let W be the tensor product of a finite list of highest weight representations of U. Then EndU(W) has a basis called the dual canonical basis and this gives an integral form for EndU(W). We show that this integral form is cellular by using results due to Lusztig
We show that, in a highest weight category with duality, the endomorphism algebra of a tilting objec...
AbstractA quantized enveloping algebra has a remarkable basis, called the canonical basis or global ...
Starting from a (small) rigid C*-tensor category l with simple unit, we construct von Neumann algebr...
Let U be the quantised enveloping algebra associated to a Cartan matrix of finite type. Let W be the...
AbstractLet U be the quantised enveloping algebra associated to a Cartan matrix of finite type. Let ...
AbstractLet U+ be the plus part of the enveloping algebra of a Kac–Moody Lie algebra g with a symmet...
Tensor products of natural modules and their centralizers are well-studied in the literature. This t...
Abstract. For each reduced expression i of the longest element w0 of the Weyl group W of a Dynkin di...
We categorify the highest weight integrable representations and their tensor products of a symmetric...
Let V be the representation of the quantized enveloping algebra of which is the q-analogue of the ve...
AbstractGraham and Lehrer have defined cellular algebras and developed a theory that allows in parti...
In this paper we first give three known examples of strict pivotal categories defined by a finite pr...
We construct explicit integral bases for the kernels and the images of diagram algebras (including t...
AbstractIn this paper we construct a tensor (or monoidal) category for any two-sided cell in a finit...
. We decompose tensor products of the defining representation of a Cartan type Lie algebra W (n) in ...
We show that, in a highest weight category with duality, the endomorphism algebra of a tilting objec...
AbstractA quantized enveloping algebra has a remarkable basis, called the canonical basis or global ...
Starting from a (small) rigid C*-tensor category l with simple unit, we construct von Neumann algebr...
Let U be the quantised enveloping algebra associated to a Cartan matrix of finite type. Let W be the...
AbstractLet U be the quantised enveloping algebra associated to a Cartan matrix of finite type. Let ...
AbstractLet U+ be the plus part of the enveloping algebra of a Kac–Moody Lie algebra g with a symmet...
Tensor products of natural modules and their centralizers are well-studied in the literature. This t...
Abstract. For each reduced expression i of the longest element w0 of the Weyl group W of a Dynkin di...
We categorify the highest weight integrable representations and their tensor products of a symmetric...
Let V be the representation of the quantized enveloping algebra of which is the q-analogue of the ve...
AbstractGraham and Lehrer have defined cellular algebras and developed a theory that allows in parti...
In this paper we first give three known examples of strict pivotal categories defined by a finite pr...
We construct explicit integral bases for the kernels and the images of diagram algebras (including t...
AbstractIn this paper we construct a tensor (or monoidal) category for any two-sided cell in a finit...
. We decompose tensor products of the defining representation of a Cartan type Lie algebra W (n) in ...
We show that, in a highest weight category with duality, the endomorphism algebra of a tilting objec...
AbstractA quantized enveloping algebra has a remarkable basis, called the canonical basis or global ...
Starting from a (small) rigid C*-tensor category l with simple unit, we construct von Neumann algebr...
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