On the cohomology of line bundles over certain flag schemes

DOI10.1016/j.jcta.2021.105448OpenAlexW4210313202MaRDI QIDQ2037159

Linyuan Liu

Publication date: 30 June 2021

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.08438

zbMATH Keywords

cohomologyWeyl modulesmultinomial coefficientsline bundlesflag schemes

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of algebraic geometry (05E14)

Related Items (5)

Representation theory via cohomology of line bundles ⋮ Resolutions in local algebra and singularity theory. Abstracts from the workshop held February 5--11, 2023 ⋮ Cohomology of line bundles on the incidence correspondence ⋮ Classical algebraic geometry. Abstracts from the workshop held June 20--26, 2021 (hybrid meeting) ⋮ On the cohomology of line bundles over certain flag schemes. II

Cites Work

• The submodule structure of certain Weyl modules for groups of type \(A_ n\)
• Advanced determinant calculus
• Product evaluations of Lefschetz determinants for Grassmannians and of determinants of multinomial coefficients
• On the cohomology of line bundles over certain flag schemes. II
• The maximal subgroups of classical algebraic groups
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