The socle filtrations of principal series representations of \(\mathrm{SL}(3, \mathbb{R})\) and \(\mathrm{Sp}(2, \mathbb{R})\)

DOI10.3836/TJM/1502179403MaRDI QIDQ6611876

Kenji Taniguchi, Go Yamanaka, Naoki Hashimoto

Publication date: 27 September 2024

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

socle filtrationprincipal series representation\(\mathrm{SL}(3, \mathbb{R})\)\(\mathrm{Sp}(2, \mathbb{R})\)

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Cites Work

• Irreducible characters of semisimple Lie groups. II: The Kazhdan-Lusztig conjectures
• Representations of real reductive Lie groups
• Kazhdan-Lusztig conjecture and holonomic systems
• Representations of Coxeter groups and Hecke algebras
• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
• On some degenerate principal series representations of \(U(n,n)\)
• Degenerate principal series representations of \(\text{Sp}(p,q)\)
• On the composition series of the standard Whittaker \((\mathfrak{g},K)\)-modules
• Intertwining operators and composition series of generalized and degenerate principal series for Sp(4,R)
• Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations
• HOMOGENEOUS COMPLEX MANIFOLDS AND REPRESENTATIONS OF SEMISIMPLE LIE GROUPS
• On the representations of $SL \left( {3, C} \right)$, I
• Intégrales d'entrelacement et fonctions de Whittaker
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