Branching laws for small unitary representations of GL(n, ℂ)
Keyword(s):
The unitary principal series representations of G = GL (n, ℂ) induced from a character of the maximal parabolic subgroup P = ( GL (1, ℂ) × GL (n - 1, ℂ)) ⋉ ℂn-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 all reductive subgroups H of G such that (G, H) forms a symmetric pair.
2008 ◽
Vol 19
(10)
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pp. 1187-1201
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2013 ◽
pp. 257-280
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1974 ◽
Vol 50
(1)
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pp. 29-32
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2004 ◽
Vol 15
(10)
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pp. 1033-1064
1981 ◽
Vol 33
(2)
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pp. 191-202