The real Chevalley involution

DOI10.1112/S0010437X14007374zbMath1309.22013arXiv1203.1901OpenAlexW3099891704MaRDI QIDQ5173075

Jeffrey D. Adams

Publication date: 6 February 2015

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1901

zbMATH Keywords

L-packetsChevalley involutionself-dual representationsFundamental Cartan subgroup

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (9)

Ext-multiplicity theorem for standard representations of \((\mathrm{GL}_{n+1},\mathrm{GL}_n)\) ⋮ Multiplicity one for the pair \((\mathrm{GL}_n (D), \mathrm{GL}_n (E))\) ⋮ Real fundamental Chevalley involutions and conjugacy classes ⋮ Rational structures on automorphic representations ⋮ A note on sign of a self-dual representation ⋮ MVW-extensions of quaternionic classical groups. ⋮ Holonomicity of relative characters and applications to multiplicity bounds for spherical pairs ⋮ Generalizing the MVW involution, and the contragredient ⋮ Corrigendum: On the cuspidal cohomology of S-arithmetic subgroups of reductive groups over number fields

Cites Work

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• Irreducible characters of semisimple Lie groups. IV: Character - multiplicity duality
• On the classification of \(k\)-involutions
• Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces
• Self-dual representations of division algebras and Weil groups: A contrast
• Remarks on Springer’s representations
• Algorithms for representation theory of real reductive groups
• BRANCHING TO A MAXIMAL COMPACT SUBGROUP

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