Mendes, Sergio and Plymen, Roger
(2013)
*L-packets and formal degrees for SL_2(K) with K a local function field of characteristic 2.*
[MIMS Preprint]

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## Abstract

Let G = SL_2(K) with K a local function field of characteristic 2. We review Artin-Schreier theory for the field K, and show that this leads to a parametrization of L-packets in the smooth dual of G. We relate this to a recent geometric conjecture. The L-packets in the principal series are parametrized by quadratic extensions, and the supercuspidal L-packets by biquadratic extensions. We compute the formal degrees of the elements in the supercuspidal packets.

Item Type: | MIMS Preprint |
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Uncontrolled Keywords: | Local function field, characteristic 2, formal degrees, special linear group, L-packets |

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 11 Number theory MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations |

Depositing User: | Professor Roger Plymen |

Date Deposited: | 11 Feb 2013 |

Last Modified: | 20 Oct 2017 14:13 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/1940 |

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