Graph Theory and Classical Invariant Theory
نویسنده
چکیده
Classical invariant theory has died and been resurrected many times. Its golden age in the last century was marked with the flowering of unsurpassed computational ability, and the explicit determination of the invariants of most of the elementary polynomials. The computational approach is commonly acknowledged to have been dealt a death-blow by Hilbert’s celebrated Basis Theorem, an existential result pav excellence. However, recent years have witnessed a reflowering of interest in classical invariant theory, both as a mathematical subject in its own right [6] and, perhaps more significantly, in important applications, including dynamical systems [ 11, existence results for the solution of nonconvex variational problems [7], and elasticity [S]. among others. The applications have required a revivial of the computational approach, a task that is somewhat ameliorated by the current availability of symbolic manipulation computer programs. (Who knows where the subject would have gone if such powerful tools had been in the hands of the great computational mathematicians like Cayley, Clebsch, Gordan, Sylvester, etc.! )
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تاریخ انتشار 1989