| Softcover ISBN: | 978-2-85629-881-7 |
| Product Code: | AST/398 |
| List Price: | $75.00 |
| AMS Member Price: | $60.00 |
| Softcover ISBN: | 978-2-85629-881-7 |
| Product Code: | AST/398 |
| List Price: | $75.00 |
| AMS Member Price: | $60.00 |
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Book DetailsAstérisqueVolume: 398; 2018; 286 ppMSC: Primary 11; 22
This volume proposes an extension of the Langlands program to covers of quasisplit groups, where covers are those that arise from central extensions of reductive groups by \(K_2\). By constructing an \(L\)-group for any such cover, the authors can conjecture a parameterization of genuine irreducible representations by Langlands parameters. Two constructions of the \(L\)-group are given and related to each other in a final note.
The proposed local Langlands conjecture for covers (LLCC) is proven for covers of split tori, spherical representations in the \(p\)-adic case, and discrete series for double-covers of real semisimple groups. The introduction of the \(L\)-group allows the authors to define partial \(L\)-functions and functoriality, including base change, for representations of covering groups.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians interested in \(L\)-groups and covering groups.
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This volume proposes an extension of the Langlands program to covers of quasisplit groups, where covers are those that arise from central extensions of reductive groups by \(K_2\). By constructing an \(L\)-group for any such cover, the authors can conjecture a parameterization of genuine irreducible representations by Langlands parameters. Two constructions of the \(L\)-group are given and related to each other in a final note.
The proposed local Langlands conjecture for covers (LLCC) is proven for covers of split tori, spherical representations in the \(p\)-adic case, and discrete series for double-covers of real semisimple groups. The introduction of the \(L\)-group allows the authors to define partial \(L\)-functions and functoriality, including base change, for representations of covering groups.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians interested in \(L\)-groups and covering groups.
