A new proof of the Howe Conjecture

DOI10.1090/S0894-0347-00-00336-2zbMath0976.22008WikidataQ123235126 ScholiaQ123235126MaRDI QIDQ4955889

Dan Barbasch, Allen Moy

Publication date: 22 May 2000

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

trace formulaweighted orbital integralsconnected reductive algebraic groupHowe conjecturetransfer of distributions

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35)

Related Items

SPECTRAL TRANSFER FOR METAPLECTIC GROUPS. I. LOCAL CHARACTER RELATIONS, COCENTERS OF -ADIC GROUPS, I: NEWTON DECOMPOSITION, Matching of orbital integrals (transfer) and Roche Hecke algebra isomorphisms, Jordan decompositions of cocenters of reductive 𝑝-adic groups, Homogeneity results for invariant distributions of a reductive p-adic group1

Cites Work

• Orbital integrals on p-adic groups: A proof of the Howe conjecture
• Intertwining operators and residues. I: Weighted characters
• Jacquet functors and unrefined minimal \(K\)-types
• Reductive groups over a local field
• The Fourier transform and germs of characters (case of Gl\(_n\) over a \(p\)- adic field)
• On the Fourier transforms of weighted orbital integrals.
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