Casimir operators for symplectic groups

We give a full set of generators for the center of the universal enveloping Lie algebra of the symplectic group of arbitrary genus. They are of trace type and are given in terms of a basis chosen such that the action on representations of given K-type becomes transparent. We give examples for the la...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Maurischat, Kathrin (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 4 May 2012
In: International journal of number theory
Year: 2012, Jahrgang: 8, Heft: 4, Pages: 923-932
ISSN:1793-0421
DOI:10.1142/S1793042112500546
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1142/S1793042112500546
Volltext
Verfasserangaben:Kathrin Maurischat
Beschreibung
Zusammenfassung:We give a full set of generators for the center of the universal enveloping Lie algebra of the symplectic group of arbitrary genus. They are of trace type and are given in terms of a basis chosen such that the action on representations of given K-type becomes transparent. We give examples for the latter.
Beschreibung:Gesehen am 19.03.2018
Beschreibung:Online Resource
ISSN:1793-0421
DOI:10.1142/S1793042112500546