Relative non-cuspidality of representations induced from split parabolic subgroups

DOI10.3836/tjm/1502179309zbMath1494.22016OpenAlexW3035775722MaRDI QIDQ1984013

Shin-Ichi Kato, Keiji Takano

Publication date: 13 September 2021

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

Full work available at URL: https://doi.org/10.3836/tjm/1502179309

zbMATH Keywords

distinguished representations\(p\)-adic symmetric spacesreductive \(p\)-adic groupsrelatively cuspidal representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

• On parabolic induction associated with a \(p\)-adic symmetric space
• On some relatively cuspidal representations: cases of Galois and inner involutions on \(\mathrm{GL}_n\)
• \(H\)-invariant distribution vectors of induced representations for a \(p\)-adic reductive symmetric space \(G/H\)
• Subrepresentation Theorem for p-adic Symmetric Spaces
• Unnamed Item

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