Discriminant of symmetric matrices as a sum of squares and the orthogonal group

It is proved that the discriminant of n × n real symmetric matrices can be written as a sum of squares, where the number of summands equals the dimension of the space of n‐variable spherical harmonics of degree n. The representation theory of the orthogonal group is applied to express the discrimina...

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Veröffentlicht in:	Communications on pure and applied mathematics 2011-04, Vol.64 (4), p.443-465
1. Verfasser:	Domokos, Mátyás
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Discriminant analysis Exact sciences and technology General mathematics General, history and biography Group theory Group theory and generalizations Harmonic analysis Mathematical analysis Mathematics Sciences and techniques of general use Special functions
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