Transfer of Unitary Representations
Wallach, Nolan R. ; Zhu, Chen-Bo
Asian J. Math., Tome 8 (2004) no. 1, p. 861-880 / Harvested from Project Euclid
This paper has as its primary purpose a clear exposition of the idea in [21] which we describe as transfer between real forms of a semi-simple Lie group over $\bb{C}$. The basic point is that there are representations of one real form that can be more easily understood in the context of another real from. An interesting example is a minimal representation (that is annihilated by the Joseph ideal) of a split group over $\bb{R}$. In the case when the complexi.cation admits a Hermitian symmetric real form, minimal representations of that real form are part of the "analytic continuation of the holomorphic discrete series"(cf.[5]) ...
Publié le : 2004-12-14
Classification: 
@article{1118669704,
     author = {Wallach, Nolan R. and Zhu, Chen-Bo},
     title = {Transfer of Unitary Representations},
     journal = {Asian J. Math.},
     volume = {8},
     number = {1},
     year = {2004},
     pages = { 861-880},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1118669704}
}
Wallach, Nolan R.; Zhu, Chen-Bo. Transfer of Unitary Representations. Asian J. Math., Tome 8 (2004) no. 1, pp.  861-880. http://gdmltest.u-ga.fr/item/1118669704/