Dimension corrections in non-semisimple walled Brauer algebras are counted via restricted Bratteli diagrams whose generating functions match the partition function of an infinite tower of simple harmonic oscillators.
Tensor product representations of general linear groups and their connections with Brauer algebras
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Oscillators from non-semisimple walled Brauer algebras
Dimension corrections in non-semisimple walled Brauer algebras are counted via restricted Bratteli diagrams whose generating functions match the partition function of an infinite tower of simple harmonic oscillators.