Section 11

Eigenfunctions of the center of the enveloping algebra

For the computations of the eigenfunction equations the help of Mathematica (or another formula manipulation application) seems unavoidable.

• Overview
• 11a. Routine for products in the enveloping algebra
• 11b. Substitution rule for the N-trivial case; preparation for Lemma 3.19
• 11c. Example in (3.53)
• 11d. Parametrization; §3.4, Proposition 3.17
• 11e. Eigenfunction equations, N-trivial eigenfunction module; Lemma 3.19 in §3.4
• 11f. Eigenfunction equations, abelian eigenfunction module; Lemma 3.20 in §3.4
• 11g. Eigenfunction equations, non-abelian eigenfunction module; equations not copied in the book
• 11h. Routines for eigenfunction equations; these routines are ready to be used in later computations

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