An Application of Twisted Character on Signature of a finite-dimensional Representation of a Real reductive Lie group

Let $G_\cpl$ be a connected complex reductive Lie group, and $G$ be a real form. Let $(\pi,V)$ be a finite-dimensional irreducible representation of $G$. Assume $(\pi,V)$ admits a $G$ invariant hermitian form. {In \cite{Signature-of-a-rep-of-reductive}, an analog of the Weyl dimension formula that i...

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1. Verfasser:	Du, Chengyu
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Representation Theory
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