Möllers J, Schwarz B (2014)
Publication Type: Journal article
Publication year: 2014
Publisher: Elsevier
Book Volume: 266
Pages Range: 3508–3542
Journal Issue: 6
DOI: 10.1016/j.jfa.2014.01.006
Let G be a simple real Lie group with maximal parabolic subgroup P whose nilradical is abelian. Then X=G/P is called a symmetric R-space. We study the degenerate principal series representations of G on C∞(X) in the case where P is not conjugate to its opposite parabolic. We find the points of reducibility, the composition series and all unitarizable constituents. Among the unitarizable constituents we identify some small representations having as associated variety the minimal nilpotent KC-orbit in , where KC is the complexification of a maximal compact subgroup K⊆G and g=k+p the corresponding Cartan decomposition.
APA:
Möllers, J., & Schwarz, B. (2014). Structure of the degenerate principal series on symmetric R-spaces and small representations. Journal of Functional Analysis, 266(6), 3508–3542. https://doi.org/10.1016/j.jfa.2014.01.006
MLA:
Möllers, Jan, and Benjamin Schwarz. "Structure of the degenerate principal series on symmetric R-spaces and small representations." Journal of Functional Analysis 266.6 (2014): 3508–3542.
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