Cells in affine Weyl groups and tensor categories
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Publication:1362169
DOI10.1006/aima.1997.1645zbMath0884.20026OpenAlexW2060053899MaRDI QIDQ1362169
Publication date: 31 March 1998
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/aima.1997.1645
affine Weyl groupstensor productstensor categoriestensor categories of representationsleft cellstwo-sided cellscategories of equivariant perverse sheaves
Related Items (23)
Character sheaves. III ⋮ The Hodge theory of the Hecke category ⋮ Unipotent representations as a categorical centre ⋮ Perverse sheaves on affine flags and nilpotent cone of the Langlands dual group ⋮ On tensor categories attached to cells in affine Weyl groups. III. ⋮ GEOMETRIC TAMELY RAMIFIED LOCAL THETA CORRESPONDENCE IN THE FRAMEWORK OF THE GEOMETRIC LANGLANDS PROGRAM ⋮ Quantum groups, the loop Grassmannian, and the Springer resolution ⋮ Frobenius semisimplicity for convolution morphisms ⋮ On the Satake isomorphism ⋮ Affine flag varieties and quantum symmetric pairs ⋮ The finiteness conjecture for skein modules ⋮ Character \(D\)-modules via Drinfeld center of Harish-Chandra bimodules. ⋮ Characters for unipotent representations ⋮ Kottwitz's nearby cycles conjecture for a class of unitary Shimura varieties ⋮ Categorification of (induced) cell modules and the rough structure of generalised Verma modules ⋮ The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties ⋮ Cells in affine Weyl groups. II ⋮ Local models in the ramified case. II: Splitting models ⋮ 2-groups, 2-characters, and Burnside rings ⋮ On the subregular \(J\)-rings of Coxeter systems ⋮ Epipelagic representations and rigid local systems ⋮ Formulae relating the Bernstein and Iwahori-Matsumoto presentations of an affine Hecke algebra. ⋮ Classification of finite-dimensional irreducible modules over -algebras
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