Journal of Lie Theory

no. 2
Dualizing Involutions for Classical and Similitude Groups over Local Non-Archimedean Fields
Journal of Lie Theory, Volume 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.
DOI: 10.5802/jolt.953
Classification: 22E50, 20G05
Keywords: Classical and similitude groups, involution, dual representation, Cayley maps 
@article{JOLT_2017_27_2_a6,
     author = {A. Roche and C. R. 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},
     doi = {10.5802/jolt.953},
     zbl = {1434.22005},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.953/}
}
TY  - JOUR
AU  - A. Roche
AU  - C. R. 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  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.953/
DO  - 10.5802/jolt.953
ID  - JOLT_2017_27_2_a6
ER  - 
%0 Journal Article
%A A. Roche
%A C. R. Vinroot
%T Dualizing Involutions for Classical and Similitude Groups over Local Non-Archimedean Fields
%J Journal of Lie Theory
%D 2017
%P 419-434
%V 27
%N 2
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.953/
%R 10.5802/jolt.953
%F JOLT_2017_27_2_a6
A. Roche; C. R. Vinroot. Dualizing Involutions for Classical and Similitude Groups over Local Non-Archimedean Fields. Journal of Lie Theory, Volume 27 (2017) no. 2, pp. 419-434. doi: 10.5802/jolt.953

Cited by Sources: