Some methods of computing first extensions between modules of graded Hecke algebras

DOI10.1007/S10468-017-9742-8zbMath1499.20003arXiv1510.05410OpenAlexW2769281845MaRDI QIDQ1671764

Kei Yuen Chan

Publication date: 7 September 2018

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05410

zbMATH Keywords

extensionsfiltrationsstandard modulesgraded Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Modular representations and characters (20C20) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (1)

Restriction for general linear groups: the local non-tempered Gan-Gross-Prasad conjecture (non-Archimedean case)

Cites Work

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• Duality for Ext-groups and extensions of discrete series for graded Hecke algebras
• Parabolically induced representations of graded Hecke algebras.
• Fourier transform and the Iwahori-Matsumoto involution
• Cuspidal local systems and graded Hecke algebras. I
• Multiplicity matrices for the affine graded Hecke algebra.
• Homological algebra for affine Hecke algebras.
• On modules over the Hecke algebra of a p-adic group
• A unitarity criterion for p-adic groups
• Irreducible characters of semisimple Lie groups. II: The Kazhdan-Lusztig conjectures
• Moduln mit einem höchsten Gewicht
• Intertwining operators for semisimple groups. II
• Duality between \(\mathfrak{sl}_n(\mathbb C)\) and the degenerate affine Hecke algebra
• Study of perverse sheaves arising from graded Lie algebras
• Unitary spherical spectrum for \(p\)-adic classical groups
• Harmonic analysis for certain representations of graded Hecke algebras
• Extensions of tempered representations
• Graded Lie Algebras and Intersection Cohomology
• Analytic R-groups of affine Hecke algebras
• Affine Hecke Algebras and Their Graded Version
• Filtrations on Verma modules
• Nonstandard intertwining operators and the structure of unramified principal series representations
• The Langlands classification for graded Hecke algebras
• Unitary representations of real reductive groups

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