Branching laws for small unitary representations of GL(n, ℂ)

Möllers J, Schwarz B (2014)

Publication Type: Journal article

Publication year: 2014

Journal

International Journal of Mathematics World Scientific Publishing

Publisher: World Scientific Publishing

Book Volume: 25

Article Number: 1450052

Journal Issue: 6

DOI: 10.1142/S0129167X14500529

Abstract

The unitary principal series representations of G = GL(n, ℂ) induced from a character of the maximal parabolic subgroup P = (GL(1, ℂ) × GL(n - 1, ℂ)) ⋉ ℂn-1 attain the minimal Gelfand–Kirillov dimension among all infinite-dimensional unitary representations of G. We find the explicit branching laws for the restriction of these representations to all reductive subgroups H of G such that (G, H) forms a symmetric pair.


 

 

Authors with CRIS profile

Jan Frahm Juniorprofessur für Mathematik (Darstellungstheorie und Operatoralgebren)

Involved external institutions

Universität Paderborn DE Germany (DE)

How to cite

APA:

Möllers, J., & Schwarz, B. (2014). Branching laws for small unitary representations of GL(n, ℂ). International Journal of Mathematics, 25(6). https://doi.org/10.1142/S0129167X14500529

MLA:

Möllers, Jan, and Benjamin Schwarz. "Branching laws for small unitary representations of GL(n, ℂ)." International Journal of Mathematics 25.6 (2014).

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