Support varieties of line bundle cohomology groups for \(SL_3(k)\).

DOI10.1016/j.jalgebra.2015.09.034zbMath1343.20048arXiv1408.2273OpenAlexW2964199325MaRDI QIDQ903936

William D. Hardesty

Publication date: 15 January 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2273

zbMATH Keywords

semisimple algebraic groupsspecial linear groupsquantum dimensioncohomological support varietiescharacter formulasgeneric dimensionline bundle cohomologysheaf cohomology groupstype \(A_2\) root systems

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Cohomology theory for linear algebraic groups (20G10)

Related Items

On support varieties and the Humphreys conjecture in type \(A\)

Cites Work

• Unnamed Item
• Differentiating the Weyl generic dimension formula with applications to support varieties
• The first cohomology group of a line bundle on G/B
• Cohomology of induced representations for algebraic groups
• The cohomology of line bundles on the three-dimensional flag variety
• Cohomology of finite group schemes over a field
• Support varieties for Frobenius kernels of classical groups.
• Endomorphism algebras of some modules for Schur algebras and representation dimension.
• Support varieties for Weyl modules over bad primes.
• Cohomology of line bundles on $G/B$
• Cohomology of Quantum Groups: the Quantum Dimension
• Support varieties for infinitesimal group schemes
• Support varieties for algebraic groups
• Representation-theoretic support spaces for finite group schemes