Orthogonality on cosets

Reinhard Knörr

doi:10.18453/rosdok_id00005890

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Reinhard Knörr

Orthogonality on cosets

University of Rostock, Institute of Mathematics, 2005

https://doi.org/10.18453/rosdok_id00005890

Abstract: We present a version of the orthogonality relations for group characters which appears to be new - at least in this generality. The proof given uses only Maschke's theorem and Schur's lemma. Among other consequences, Burnside's result on the existence of zeros for non-linear irreducible characters is generalized.

Workingpaper Freier Zugang

Titel:

Orthogonality on cosets

Schriftenreihe:

Preprints aus dem Institut für Mathematik, 05/10

Beteiligte Personen:

Reinhard Knörr[VerfasserIn]
	132380749

Zusammenfassung:

We present a version of the orthogonality relations for group characters which appears to be new - at least in this generality. The proof given uses only Maschke's theorem and Schur's lemma. Among other consequences, Burnside's result on the existence of zeros for non-linear irreducible characters is generalized. [Englisch]

Dokumenttyp:

Workingpaper

Einrichtung:

Mathematisch-Naturwissenschaftliche Fakultät

Sprache:

Englisch

Sachgruppe der DNB:

510 Mathematik

Umfang:

1 Online-Ressource (11 Seiten)

Veröffentlichung /
Entstehung:

Rostock: University of Rostock, Institute of Mathematics