The modular Weyl–Kac character formula
نویسندگان
چکیده
Abstract We classify and explicitly construct the irreducible graded representations of anti-spherical Hecke categories which are concentrated one degree. Each these homogeneous is one-dimensional can be cohomologically constructed via a BGG resolution involving every (infinite dimensional) standard representation category. hence determine complete first row inverse parabolic p -Kazhdan–Lusztig matrix for an arbitrary Coxeter group subgroup. This generalises Weyl–Kac character formula to all systems (and their parabolics) proves that this generalised rigid with respect base change fields characteristic.
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2022
ISSN: ['1432-1823', '0025-5874']
DOI: https://doi.org/10.1007/s00209-022-03084-7