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- Centre National de la Recherche ScientifiqueFR398 papers
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6 papers · 2 filters
Affine Hecke algebras for classical p-adic groups
Anne-Marie Aubert, Ahmed Moussaoui, Maarten Solleveld
We consider four classes of classical groups over a non-archimedean local field F: symplectic, (special) orthogonal, general (s)pin and unitary. These groups need not be quasi-spli…
Verma Howe duality and LKB representations
Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz
We establish a version of Howe duality that involves a tensor product of Verma modules. Surprisingly, this duality leaves the realm of lowest and highest weight modules. We quantiz…
Block decomposition via the geometric Satake equivalence
Emilien Zabeth
We give a new proof for the description of the blocks in the category of representations of a reductive algebraic group over a field of positive characteristic …
Modular affine Hecke category and regular centralizer
Roman Bezrukavnikov, Simon Riche
In this paper we provide a "combinatorial" description of the category of tilting perverse sheaves on the affine flag variety of a reductive algebraic group, and its free-monodromi…
Modulo distinction problems
Peiyi Cui, Thomas Lanard, Hengfei Lu
Let be a non-archimedean local field of characteristic different from 2 and residual characteristic . This paper concerns the -modular representations of a connected r…
Depth zero representations over
Jean-François Dat, Thomas Lanard
We consider the category of depth representations of a -adic quasi-split reductive group with coefficients in . We prove that the blocks…