Geodesic
Radial Operators on Lie Supergroups and Characters of Representation
Journal of Lie theory, Tome 24 (2014) no. 4, pp. 1033-1046.

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 32C11, 81R05, 17B15
Mots-clés : Complex Lie supergroups, radial operators, characters, Casimir operators 
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     title = {Radial {Operators} on {Lie} {Supergroups} and {Characters} of {Representation}},
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A. Huckleberry; M. Kalus . Radial Operators on Lie Supergroups and Characters of Representation. Journal of Lie theory, Tome 24 (2014) no. 4, pp. 1033-1046. http://geodesic.mathdoc.fr/item/JLT_2014_24_4_JLT_2014_24_4_a6/