Theory of the invariants

In Mathematical, the theory of the invariants , developed by David Hilbert, is the study of the invariants of the algebraic forms (in an equivalent way, of the symmetrical Tenseur S) for the actions of group at the time of the linear transformations. At the end of the XIXe century, it is in the center of an important research effort when it appears that it could be the keystone in Algorithmique (in competition with other mathematics formulations of the invariance of symmetry). In spite of a baited work, it did not hold its promises, but made it possible to develop several other disciplines. In XXIe century, the symmetrical groups and the symmetrical functions, the commutative Algebra, the spaces of modules and the Représentations of the group of Dregs are the most fertile descendants.

External bonds

H. Kraft, C. Procesi, Classical Theory Invariant, have Primer

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