Nous donnons une classification complète des opérateurs dʼentrelacement (opérateurs de brisure de symétrie) entre les représentations des séries principales sphériques de et de ainsi que des formules explicites pour les noyaux de Schwartz de ces opérateurs. Par la suite, nous déterminons les opérateurs de brisure de symétrie entre les facteurs irréductibles des séries de composition correspondantes.
We give a complete classification of intertwining operators (breaking symmetry operators) between spherical principal series representations of and together with explicit formulae of the distribution kernels. Further we use this to determine the breaking symmetry operators between their irreducible composition factors.
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Toshiyuki Kobayashi 1 ; Birgit Speh 2
@article{CRMATH_2014__352_2_89_0, author = {Toshiyuki Kobayashi and Birgit Speh}, title = {Intertwining operators and the restriction of representations of rank-one orthogonal groups}, journal = {Comptes Rendus. Math\'ematique}, pages = {89--94}, publisher = {Elsevier}, volume = {352}, number = {2}, year = {2014}, doi = {10.1016/j.crma.2013.11.018}, language = {en}, }
TY - JOUR AU - Toshiyuki Kobayashi AU - Birgit Speh TI - Intertwining operators and the restriction of representations of rank-one orthogonal groups JO - Comptes Rendus. Mathématique PY - 2014 SP - 89 EP - 94 VL - 352 IS - 2 PB - Elsevier DO - 10.1016/j.crma.2013.11.018 LA - en ID - CRMATH_2014__352_2_89_0 ER -
Toshiyuki Kobayashi; Birgit Speh. Intertwining operators and the restriction of representations of rank-one orthogonal groups. Comptes Rendus. Mathématique, Volume 352 (2014) no. 2, pp. 89-94. doi : 10.1016/j.crma.2013.11.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.11.018/
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