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Walled Klein-4 Brauer algebras

Walled Klein-4 Brauer algebras

The new class of diagram algebras known as walled Klein-$4$ Brauer algebras, denoted by $\overrightarrow{\overrightarrow{D}}_{r,s}(l)$, where $r,s \in \mathds{N}$ and $l \in K$, is an indeterminate, is studied in this paper. The walled klein-$4$ Brauer algebras are explained in terms of generators and relations. The indexing set of the simple …