1Dept. of Mathematics, University of Oklahoma, Norman, OK 73019-3103, U.S.A. 2Dept. of Mathematics, College of William and Mary, P.O. 8795, Williamsburg, VA 23187-8795, U.S.A.
Journal of Lie Theory, Tome 27 (2017) no. 2, pp. 419-434
Building on ideas of Tupan, we give an elementary proof of a result of Moeglin, Vignéras and Waldspurger on the existence of automorphisms of many p-adic classical groups that take each irreducible smooth representation to its dual. Our proof also applies to the corresponding similitude groups. It does not apply in even residual characteristic.
1
Dept. of Mathematics, University of Oklahoma, Norman, OK 73019-3103, U.S.A.
2
Dept. of Mathematics, College of William and Mary, P.O. 8795, Williamsburg, VA 23187-8795, U.S.A.
Alan Roche; C. Ryan Vinroot. Dualizing Involutions for Classical and Similitude Groups over Local Non-Archimedean Fields. Journal of Lie Theory, Tome 27 (2017) no. 2, pp. 419-434. http://geodesic.mathdoc.fr/item/JOLT_2017_27_2_a6/
@article{JOLT_2017_27_2_a6,
author = {Alan Roche and C. Ryan Vinroot},
title = {Dualizing {Involutions} for {Classical} and {Similitude} {Groups} over {Local} {Non-Archimedean} {Fields}},
journal = {Journal of Lie Theory},
pages = {419--434},
year = {2017},
volume = {27},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2017_27_2_a6/}
}
TY - JOUR
AU - Alan Roche
AU - C. Ryan Vinroot
TI - Dualizing Involutions for Classical and Similitude Groups over Local Non-Archimedean Fields
JO - Journal of Lie Theory
PY - 2017
SP - 419
EP - 434
VL - 27
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2017_27_2_a6/
ID - JOLT_2017_27_2_a6
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%V 27
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%U http://geodesic.mathdoc.fr/item/JOLT_2017_27_2_a6/
%F JOLT_2017_27_2_a6
