OPERATOR KERNELS FOR IRREDUCIBLE REPRESENTATIONS OF EXPONENTIAL LIE GROUPS
2008 ◽
Vol 78
(2)
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pp. 301-316
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AbstractA nine-dimensional exponential Lie group G and a linear form ℓ on the Lie algebra of G are presented such that for all Pukanszky polarizations 𝔭 at ℓ the canonically associated unitary representation ρ=ρ(ℓ,𝔭) of G has the property that ρ(ℒ1(G)) does not contain any nonzero operator given by a compactly supported kernel function. This example shows that one of Leptin’s results is wrong, and it cannot be repaired.
1986 ◽
Vol 41
(3)
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pp. 411-420
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1986 ◽
Vol 40
(1)
◽
pp. 89-94
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2005 ◽
Vol 02
(01)
◽
pp. 111-125
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1994 ◽
Vol 46
(2)
◽
pp. 438-448
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1983 ◽
Vol 50
(4)
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pp. 1077-1106
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2011 ◽
Vol 148
(3)
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pp. 807-834
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