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Extensions of representations of \(p\)-adic nilpotent groups

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Publication:1201332
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DOI10.1016/0001-8708(92)90037-LzbMath0785.22010OpenAlexW2066238476MaRDI QIDQ1201332

Sergei Gelfand, D. A. Kazhdan

Publication date: 17 January 1993

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(92)90037-l


zbMATH Keywords

extensionirreducible algebraic representationsnilpotent \(p\)-adic group


Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of Lie and linear algebraic groups over local fields (22E50)


Related Items (2)

The Bernstein center of a \(p\)-adic unipotent group ⋮ The orbit method for profinite groups and a \(p\)-adic analogue of Brown's theorem.



Cites Work

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  • The Fourier transform for nilpotent locally compact groups. I
  • Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
  • Sur certains groupes d'opérateurs unitaires
  • Dual topology of a nilpotent Lie group
  • Weak Containment and Induced Representations of Groups
  • Theory of group representations


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