Journal of Lie Theory

no. 4
Radial Operators on Lie Supergroups and Characters of Representation
Journal of Lie Theory, Volume 24 (2014) no. 4, pp. 1033-1046
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.
DOI: 10.5802/jolt.818
Classification: 32C11, 81R05, 17B15
Keywords: Complex Lie supergroups, radial operators, characters, Casimir operators 
@article{JOLT_2014_24_4_a6,
     author = {A. Huckleberry and M. Kalus},
     title = {Radial {Operators} on {Lie} {Supergroups} and {Characters} of {Representation}},
     journal = {Journal of Lie Theory},
     pages = {1033--1046},
     year = {2014},
     volume = {24},
     number = {4},
     doi = {10.5802/jolt.818},
     zbl = {1308.32012},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.818/}
}
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A. Huckleberry; M. Kalus. Radial Operators on Lie Supergroups and Characters of Representation. Journal of Lie Theory, Volume 24 (2014) no. 4, pp. 1033-1046. doi: 10.5802/jolt.818

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