Geodesic
Positivity of Principal Matrix Coefficients of Principal Series Representations of GLn(R)
Yangyang Chen1
1School of Sciences, Harbin Inst. of Technology, Shenzhen, 518055, P. R. of China
Journal of Lie Theory, Tome 29 (2019) no. 3, pp. 601-610

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

Let G = GLn(R), with the usual Cartan decomposition G = K exp(p0) and the usual Iwasawa decomposition G = NAK. We determine the image of exp(p0) under the projection of G to K through the Iwasawa decomposition. As an application, we prove a positivity result about the matrix coefficients of principal series representations of G.
Classification : 22E45, 22E15
Mots-clés : General linear group, Iwasawa decomposition, matrix coefficient, principal series representation

Yangyang Chen  1

1 School of Sciences, Harbin Inst. of Technology, Shenzhen, 518055, P. R. of China 
Yangyang Chen. Positivity of Principal Matrix Coefficients of Principal Series Representations of GLn(R). Journal of Lie Theory, Tome 29 (2019) no. 3, pp. 601-610. http://geodesic.mathdoc.fr/item/JOLT_2019_29_3_a0/
@article{JOLT_2019_29_3_a0,
     author = {Yangyang Chen},
     title = {Positivity of {Principal} {Matrix} {Coefficients} of {Principal} {Series} {Representations} of {GL\protect\textsubscript{n}(R)}},
     journal = {Journal of Lie Theory},
     pages = {601--610},
     year = {2019},
     volume = {29},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_3_a0/}
}
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