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We construct Pfaffian L-ensembles related to the z-measures on partitions andto the Plancherel measures on partitions with the Jack parameters 1/2 or 2. Theresults imply that these measures on partitions lead to Pfaffian pointprocesses, and the correlation kernels of these processes can be expressed interms of the corresponding L-matrices. We give explit formulae for theseL-matrices.

Pfaffian L-ensembles related to the z-measures on partitions with the Jack parameters 1/2 or 2