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| C?-Algebraic Intertwiners for Degenerate Principal Seriesof Special Linear Groups |
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Citation： |
Pierre CLARE.C?-Algebraic Intertwiners for Degenerate Principal Seriesof Special Linear Groups[J].Chinese Annals of Mathematics B,2014,35(5):691~702 |
| Page view： 1290
Net amount： 915 |
Authors： |
Pierre CLARE; |
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| Abstract： |
The author constructs unitary intertwiners for degenerate C
?-algebraic universal
principal series of SL(n + 1) over a local field by explicitely normalizing standard
intertwining integrals at the level of Hilbert modules. |
Keywords： |
Group C?-algebras, Hilbert modules, Semisimple Lie groups, Principal
series representations, Intertwining operators |
Classification： |
22D25, 46L08, 22E46 |
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