Abstract
This part is devoted to the generalization of the Laplace-Casimir operator theory to Lie supergroups. In what follows they are called Laplace operators. The main result is the formula for the radial parts of the Laplace operators under some general assumptions about Lie supergroup. These assumptions are valid in particular for the Lie supergroups U(p, q) and C(m,n).
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© 1987 Springer Science+Business Media Dordrecht
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Berezin, F.A. (1987). Lie Superalgebras. In: Kirillov, A.A. (eds) Introduction to Superanalysis. Mathematical Physics and Applied Mathematics, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1963-6_7
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DOI: https://doi.org/10.1007/978-94-017-1963-6_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8392-0
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