# Department of Mathematics

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

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### DOI

• Jan Möllers
• Benjamin Schwarz, Universität Paderborn, Germany
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 $G$.
Original language English 1450052 International Journal of Mathematics 25 6 16 0129-167X https://doi.org/10.1142/S0129167X14500529 Published - 2014

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