Bernstein–Gelfand–Gelfand resolutions and the constructible t-structure

Dhillon, Gurbir

doi:10.1016/j.jalgebra.2022.07.008

Journal of Algebra

2022

DOI: 10.1016/j.jalgebra.2022.07.008

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Bernstein–Gelfand–Gelfand resolutions and the constructible t-structure

Gurbir Dhillon

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Unitary Representations of Cyclotomic Hecke Algebras at Roots of Unity: Combinatorial Classification and BGG Resolutions

Bowman

Norton²,

Simental

2022

J. Inst. Math. Jussieu

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We relate the classes of unitary and calibrated representations of cyclotomic Hecke algebras, and, in particular, we show that for the most important deformation parameters these two classes coincide. We classify these representations in terms of both multipartition combinatorics and as the points in the fundamental alcove under the action of an affine Weyl group. Finally, we cohomologically construct these modules via BGG resolutions.

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Unitary Representations of Cyclotomic Hecke Algebras at Roots of Unity: Combinatorial Classification and BGG Resolutions

Bowman

Norton²,

Simental

2022

J. Inst. Math. Jussieu

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show abstract

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Bernstein–Gelfand–Gelfand resolutions and the constructible t-structure

Cited by 1 publication

References 6 publications

Unitary Representations of Cyclotomic Hecke Algebras at Roots of Unity: Combinatorial Classification and BGG Resolutions

Unitary Representations of Cyclotomic Hecke Algebras at Roots of Unity: Combinatorial Classification and BGG Resolutions

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