What Went Wrong? Lessons in Leadership from Solomon, the Bible’s Wisest and Worst Ruler

This paper attempts to demonstrate the many insights about successful and unsuccessful leadership that may be derived from the life of King Solomon, who, according to Scripture, was the wisest man who ever lived. Solomon may have been very wise but made some very serious blunders as a leader that led to the breakup of his empire after his son took over. This paper answers the obvious question as to which mistake/character flaw transformed Solomon from a great leader to an unsuccessful leader. This paper will also examine the Book of Proverbs attributed to Solomon and see what leadership lessons can be gleaned from it. One question that the paper will attempt to answer is whether or not Solomon followed the path of wisdom discussed in Proverbs

Minuscule representations, invariant polynomials, and spectral covers

Given a minuscule representation of a simple Lie algebra, we find an algebraic model for the action of a regular element and show that these models can be glued together over the adjoint quotient, viewed as the set of all regular conjugacy classes of the Lie algebra. There are partial results in the case of a quasiminuscule representation, and a conjecture in the case of a general irreducible finite-dimensional representation. The method of proof is to relate the question to a problem concerning holomorphic principal bundles over cuspidal cubic curves.Comment: LaTeX, 42 pages, final version, to appear in the proceedings of the University of Missouri conference on Hilbert schemes, vector bundles and representation theory, new material on extensions and the adjoint representation of a simply laced Lie algebra adde

Jet noise from co-axial nozzles over a wide range of geometric and flow parameters

Free field pure jet noise data were taken for a large range of coaxial nozzle configurations. The core nozzles were circular (1 to 4 in. diameter) and plug types. The fan to core area ratio varied from 0.7 to 43.5, while the velocity ratio typically varied from 0 to 1. For most cases the two nozzles were coplanar but large axial extensions of either nozzle were also tested. Correlation of the data resulted in a simple procedure for estimating ambient temperature subsonic coaxial jet noise spectra over a wide range of geometric and flow parameters