Paper UTAS-PHYS-94-09

On Replicant and Compound Symmetric Functions

Authors: T. H. Baker and P.D. Jarvis

The notion of an $S$-function with a replicated argument is defined and related to known concepts such as compound and supersymmetric $S$-functions, and Jack symmetric functions. Using this, certain results concerning ``dual'' compound $S$-functions are derived. Supersymmetric Hall-Littlewood functions are introduced, and some of their properties examined, and the results of replicated $S$-functions are carried over to these functions. We introduce $q$-replicated symmetric functions and relate these to Macdonald's generalization of Hall-Littlewood functions.


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