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Differential Relations and Recurrence Formulas for Representations of Lie Groups

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General recurrence formulas for matrix elements of representations of Lie groups on enveloping algebras are given. In particular, we show the connection with the exponential of the adjoint representation which is an important feature of the construction. The methods are applicable for groups of arbitrary dimension and have been implemented using MAPLE. A three‐step nilpotent group and SU(3) provide examples of the theory.
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Document Type: Research Article

Affiliations: Southern Illinois University

Publication date: May 1, 1996

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