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

TY - JOUR

T1 - Branching laws for small unitary representations of GL(n,C)

AU - Möllers, Jan

AU - Schwarz, Benjamin

PY - 2014

Y1 - 2014

N2 - 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 $G$.

AB - 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 $G$.

U2 - 10.1142/S0129167X14500529

DO - 10.1142/S0129167X14500529

M3 - Journal article

SN - 0129-167X

VL - 25

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 6

M1 - 1450052

ER -