Add to ORKGWe describe the planar rook category, the rook category, the rook-Brauer category, and the Motzkin category in terms of generators and relations. We show that the morphism spaces of these categories have linear bases given by planar rook diagrams, rook diagrams, rook-Brauer diagrams, and Motzkin diagrams
We consider a tower of generalized rook monoid algebras over the field $\mathbb{C}$ of complex numbe...
This thesis concerns the representation theory of diagram algebras and related problems. In particul...
We define a subsemigroup $S_n$ of the rook monoid $R_n$ and investigate its properties. To do this, ...
We describe the planar rook category, the rook category, the rook-Brauer category, and the Motzkin c...
We describe the planar rook category, the rook category, the rook-Brauer category, and the Motzkin c...
We describe the planar rook category, the rook category, the rook-Brauer category, and the Motzkin c...
This paper concerns a number of diagram categories, namely the partition, planar partition, Brauer, ...
We introduce an associative algebra RBk(x) that has a basis of rook-Brauer diagrams. These diagrams...
We study the partial Brauer monoid and its planar submonoid, the Motzkin monoid. We conduct a thorou...
AbstractThe rook partition algebra RPk(x) is a generically semisimple algebra that arises from looki...
We obtain several presentations by generators and relations for the rook partition monoids and algeb...
We study the partial Brauer monoid and its planar sub-monoid, the Motzkin monoid. We conduct a thoro...
In categorical representation theory, numerous families of categories are defined by presentations b...
In categorical representation theory, numerous families of categories are defined by presentations b...
In categorical representation theory, numerous families of categories are defined by presentations b...
We consider a tower of generalized rook monoid algebras over the field $\mathbb{C}$ of complex numbe...
This thesis concerns the representation theory of diagram algebras and related problems. In particul...
We define a subsemigroup $S_n$ of the rook monoid $R_n$ and investigate its properties. To do this, ...
We describe the planar rook category, the rook category, the rook-Brauer category, and the Motzkin c...
We describe the planar rook category, the rook category, the rook-Brauer category, and the Motzkin c...
We describe the planar rook category, the rook category, the rook-Brauer category, and the Motzkin c...
This paper concerns a number of diagram categories, namely the partition, planar partition, Brauer, ...
We introduce an associative algebra RBk(x) that has a basis of rook-Brauer diagrams. These diagrams...
We study the partial Brauer monoid and its planar submonoid, the Motzkin monoid. We conduct a thorou...
AbstractThe rook partition algebra RPk(x) is a generically semisimple algebra that arises from looki...
We obtain several presentations by generators and relations for the rook partition monoids and algeb...
We study the partial Brauer monoid and its planar sub-monoid, the Motzkin monoid. We conduct a thoro...
In categorical representation theory, numerous families of categories are defined by presentations b...
In categorical representation theory, numerous families of categories are defined by presentations b...
In categorical representation theory, numerous families of categories are defined by presentations b...
We consider a tower of generalized rook monoid algebras over the field $\mathbb{C}$ of complex numbe...
This thesis concerns the representation theory of diagram algebras and related problems. In particul...
We define a subsemigroup $S_n$ of the rook monoid $R_n$ and investigate its properties. To do this, ...