Abstract
We construct combinatorial (involutory) Gelfand models for the following diagram algebras in the case when they are semi-simple: Brauer algebras, their partial analogues, walled Brauer algebras, their partial analogues, Temperley-Lieb algebras, their partial analogues, walled Temperley-Lieb algebras, their partial analogues, partition algebras and their Temperley-Lieb analogues.
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Mazorchuk, V. Combinatorial Gelfand Models for Semisimple Diagram Algebras. Milan J. Math. 81, 385–396 (2013). https://doi.org/10.1007/s00032-013-0206-2
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DOI: https://doi.org/10.1007/s00032-013-0206-2