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The Grothendieck group of a tower of the Temperley–Lieb algebras
Preview AbstractWe provide a diagrammatic approach to compute the algebraic structures on the Grothendieck group of a tower of the Temperley–Lieb algebras.
On the Grothendieck Ring of the Sequence of Walled Brauer Algebras
Preview AbstractIn this paper, we provide a diagrammatic approach to study the branching rules for cell modules on a sequence of walled Brauer algebras. This approach also allows us to calculate the structure constants of multiplication over the Grothendieck ring of the sequence.