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

DOI10.1007/s11856-008-1004-3zbMath1165.20022arXivmath/0608126OpenAlexW2098871952MaRDI QIDQ940761

Mitya Boyarchenko, Maria Sabitova

Publication date: 3 September 2008

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

Full work available at URL: https://arxiv.org/abs/math/0608126

zbMATH Keywords

finite \(p\)-groupscharactersLie algebrasnilpotent Lie groupsprofinite groups\(p\)-adic Lie groupscomplex irreducible representationsKirillov character formulauniformly powerful pro-\(p\)-groups

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Ordinary representations and characters (20C15) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25) Analysis on (p)-adic Lie groups (22E35) Limits, profinite groups (20E18) Associated Lie structures for groups (20F40)

Related Items (9)

On the coadjoint orbits of maximal unipotent subgroups of reductive groups. ⋮ Kirillov's orbit method and polynomiality of the faithful dimension of $p$-groups ⋮ On irreducible representations of compact \(p\)-adic analytic groups ⋮ Enumerating classes and characters of 𝑝-groups ⋮ Polynomiality of the faithful dimension for nilpotent groups over finite truncated valuation rings ⋮ The Bernstein center of a \(p\)-adic unipotent group ⋮ Spectral equivalence of smooth group schemes over principal ideal local rings ⋮ A VARIANT OF HARISH-CHANDRA FUNCTORS ⋮ Kirillov's Orbit Method forp-Groups and Pro-pGroups

Cites Work

• Extensions of representations of \(p\)-adic nilpotent groups
• Kirillov theory for compact p-adic groups
• Proof of Springer's hypothesis
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Zeta function of representations of compact 𝑝-adic analytic groups
• Unnamed Item
• Unnamed Item

This page was built for publication: The orbit method for profinite groups and a \(p\)-adic analogue of Brown's theorem.