14 citations · 108 across the 42 of their papers we have counts for
5 papers · 2 filters
The principal series of -adic groups with disconnected centre
Anne-Marie Aubert, Paul Baum, Roger Plymen +1
Let G be a split connected reductive group over a local non-archimedean field. We classify all irreducible complex G-representations in the principal series, irrespective of the (d…
Geometric structure for the principal series of a split reductive -adic group with connected centre
Anne-Marie Aubert, Paul Baum, Roger Plymen +1
Let be a split reductive -adic group with connected centre. We show that each Bernstein block in the principal series of admits a definite geometric…
The local spectrum of the Dirac operator for the universal cover of
Jacek Brodzki, Graham A. Niblo, Roger Plymen +1
Using representation theory, we compute the spectrum of the Dirac operator on the universal covering group of , exhibiting it as the generator of $KK^1(\mathbb C,…
Hecke algebras for inner forms of p-adic special linear groups
Anne-Marie Aubert, Paul Baum, Roger Plymen +1
Let F be a non-archimedean local field and let be the group of F-rational points of an inner form of . We study Hecke algebras for all Bernstein components of $G^\…
L-packets and depth for SL_2(K) with K a local function field of characteristic 2
Sergio Mendes, Roger Plymen
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 certain L-packe…