The adjoint representation of so(5) on its universal enveloping algebra U(so(5)) is explicitly decomposed into irreducible components. It is shown that the commutant of raising operators of so(5) is generated by seven elements. The explicit form of these elements is given.
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Burdík, Č., Navrátil, O. (2009). Decomposition of the Enveloping Algebra so(5). In: Silvestrov, S., Paal, E., Abramov, V., Stolin, A. (eds) Generalized Lie Theory in Mathematics, Physics and Beyond. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85332-9_25
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DOI: https://doi.org/10.1007/978-3-540-85332-9_25
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