Geodesic
Spin Norm, K-Types, and Tempered Representations
Jian Ding1 ; Chao-Ping Dong2
1School of Mathematics and Econometrics, Hunan University, Changsha 410082, P. R. China
2Institute of Mathematics, Hunan University, Changsha 410082, P. R. China
Journal of Lie Theory, Tome 26 (2016) no. 3, pp. 651-658

Voir la notice de l'article provenant de la source Heldermann Verlag

We extend the notion spin norm slightly to a real reductive Lie group G in the Harish-Chandra class. Let K be a maximal compact subgroup of G. In this setting, the spin norm of any K-type π is still bounded from below by its lambda norm. We establish a bijection between irreducible tempered (g, K)-modules with nonzero Dirac cohomology and those K-types whose spin norm equals their lambda norm.
Classification : 22E46
Mots-clés : Dirac cohomology, K-types, spin norm, tempered representation

Jian Ding  1   ; Chao-Ping Dong  2

1 School of Mathematics and Econometrics, Hunan University, Changsha 410082, P. R. China
2 Institute of Mathematics, Hunan University, Changsha 410082, P. R. China 
Jian Ding; Chao-Ping Dong. Spin Norm, K-Types, and Tempered Representations. Journal of Lie Theory, Tome 26 (2016) no. 3, pp. 651-658. http://geodesic.mathdoc.fr/item/JOLT_2016_26_3_a1/
@article{JOLT_2016_26_3_a1,
     author = {Jian Ding and Chao-Ping Dong},
     title = {Spin {Norm,} {K-Types,} and {Tempered} {Representations}},
     journal = {Journal of Lie Theory},
     pages = {651--658},
     year = {2016},
     volume = {26},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2016_26_3_a1/}
}
TY  - JOUR
AU  - Jian Ding
AU  - Chao-Ping Dong
TI  - Spin Norm, K-Types, and Tempered Representations
JO  - Journal of Lie Theory
PY  - 2016
SP  - 651
EP  - 658
VL  - 26
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JOLT_2016_26_3_a1/
ID  - JOLT_2016_26_3_a1
ER  - 
%0 Journal Article
%A Jian Ding
%A Chao-Ping Dong
%T Spin Norm, K-Types, and Tempered Representations
%J Journal of Lie Theory
%D 2016
%P 651-658
%V 26
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2016_26_3_a1/
%F JOLT_2016_26_3_a1