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arXiv · 1308.0296

Branching laws for small unitary representations of GL(n,C)

Jan Möllers·Benjamin Schwarz
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Abstract

The unitary principal series representations of $G=GL(n,\mathbb{C})$ induced from a character of the maximal parabolic subgroup $P=(GL(1,\mathbb{C})\times GL(n-1,\mathbb{C}))\ltimes\mathbb{C}^{n-1}$ attain the minimal Gelfand--Kirillov dimension among all infinite-dimensional unitary representations of $G$. We find the explicit branching laws for the restriction of these representations to symmetric subgroups of $G$.

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BibTeXRIS

Jan Möllers, Benjamin Schwarz. 2013-08-01. Branching laws for small unitary representations of GL(n,C). https://doi.org/10.1142/s0129167x14500529

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