Local theta correspondences between epipelagic supercuspidal representations

DOI10.1007/s00209-015-1594-5zbMath1347.22011arXiv1501.07069OpenAlexW1489059411MaRDI QIDQ284788

Gordan Savin, Jia-Jun Ma, Huang Yean Loke

Publication date: 18 May 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.07069

zbMATH Keywords

moment maplocal theta correspondenceepipelagic supercuspidal representationstable vector

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items

Local Theta Correspondences between Supercuspidal Representations ⋮ Theta lifts and distinction for regular supercuspidal representations ⋮ Correction to: ``Stable conjugacy and epipelagic \(L\)-packets for Brylinski-Deligne covers of \(\mathrm{Sp}(2n)\) ⋮ Stable conjugacy and epipelagic \(L\)-packets for Brylinski-Deligne covers of \(\mathrm{Sp}(2n)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vinberg's \(\theta \)-groups in positive characteristic and Kostant-Weierstrass slices
• Howe correspondences on a \(p\)-adic field
• The dual pair \((U(1),U(1))\) over a \(p\)-adic field
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Local theta correspondence and minimal \(K\)-types of positive depth
• On finite group actions on reductive groups and buildings
• Depth preservation in local theta correspondence
• Splittings of the metaplectic covers of some reductive dual pairs.
• Gradings of positive rank on simple Lie algebras
• Levi factors of the special fiber of a parahoric group scheme and tame ramification
• A proof of the Howe duality conjecture
• Supercuspidal representations: An exhaustion theorem
• Symmetry, Representations, and Invariants
• Schémas en groupes et immeubles des groupes classiques sur un corps local
• Schémas en groupes et immeubles des groupes classiques sur un corps local. II : groupes unitaires
• THE WEYL GROUP OF A GRADED LIE ALGEBRA
• Character expansions and unrefined minimal K -types
• An Intertwining Result for p-adic Groups
• Conservation relations for local theta correspondence
• Epipelagic representations and invariant theory