caa a22 4500 445862297 CHVBK 20180317145447.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00031-011-9155-4 doi (NATIONALLICENCE)springer-10.1007/s00031-011-9155-4 Murnaghan-Kirillov theory for depth-zero supercuspidal representations: reduction to Lusztig functions [Elektronische Daten] [Stephen Debacker, David Kazhdan] The goal of Murnaghan-Kirillov theory is to associate to an irreducible smooth representation of a reductive p-adic group a family of regular semisimple orbital integrals in the Lie algebra with the following property: the character of π is given, on a well determined set, by an explicit combination of the Fourier transforms of these orbital integrals. Subject to certain restrictions, we adapt arguments of Waldspurger to show that, for depth-zero irreducible smooth supercuspidal representations, this problem may be reduced to a similar one for distributions associated to Lusztig functions. Springer Science+Business Media, LLC, 2011 Harmonic analysis nationallicence supercuspidal nationallicence depth-zero nationallicence representation nationallicence reductive p -adic group nationallicence character nationallicence Debacker Stephen Department of Mathematics, University of Michigan, 530 Church St, 2074 East Hall, 48109-1043, Ann Arbor, MI, USA aut Kazhdan David Einstein Institute of Mathematics, Hebrew University, Givat Ram, 91904, Jerusalem, Israel aut Transformation Groups SP Birkhäuser Verlag Boston 16/3(2011-09-01), 737-766 1083-4362 16:3<737 2011 16 31 https://doi.org/10.1007/s00031-011-9155-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00031-011-9155-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Debacker Stephen Department of Mathematics, University of Michigan, 530 Church St, 2074 East Hall, 48109-1043, Ann Arbor, MI, USA aut NATIONALLICENCE 700 1- Kazhdan David Einstein Institute of Mathematics, Hebrew University, Givat Ram, 91904, Jerusalem, Israel aut NATIONALLICENCE 773 0- Transformation Groups SP Birkhäuser Verlag Boston 16/3(2011-09-01), 737-766 1083-4362 16:3<737 2011 16 31 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer