Foundational material describes radial operators in complex Lie supergroups, highlighting their application in representation characters.
Foundational material on radial operators on complex Lie supergroups is presented.In particular, a local version of Berezin's recursion formula for describing the radial parts of fundamental operators in general linear and ortho-symplectic cases is proved.Results which are suitable for applications for computing characters which are only defined on proper subdomains or covering spaces thereof are established.
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Huckleberry et al. (2014) studied this question.
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