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Selected results on Lie supergroups and their radial operators (1012.5233v1)
Published 23 Dec 2010 in math-ph and math.MP
Abstract: Foundational material on complex Lie supergroups and their radial operators is presented. In particular, Berezin's recursion formula for describing the radial parts of fundamental operators in general linear and ortho-symplectic cases is proved. Local versions of results which are suitable for applications for computing characters which are only defined on proper subdomains or covering spaces thereof are established.