Support varieties for rational representations
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Publication:5251379
DOI10.1112/S0010437X14007726zbMath1329.20057arXiv1406.7499MaRDI QIDQ5251379
Publication date: 20 May 2015
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.7499
linear algebraic groupsgroup schemesrational representationsFrobenius kernelsJordan blockssupport varieties\(p\)-nilpotent elements1-parameter subgroups
Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Cohomology theory for linear algebraic groups (20G10) Group schemes (14L15)
Related Items (6)
Support varieties and stable categories for algebraic groups ⋮ Graded analogues of one-parameter subgroups and applications to the cohomology of \(\mathrm{GL}_{m|n(r)}\) ⋮ Filtrations, 1-parameter subgroups, and rational injectivity ⋮ Exponentiation of commuting nilpotent varieties ⋮ Cohomology of unipotent group schemes ⋮ Geometric invariants of representations of finite groups
Cites Work
- The varieties and the cohomology ring of a module
- Generic and maximal Jordan types
- \(\Pi\)-supports for modules for finite group schemes.
- Cohomology, hyperalgebras, and representations
- Cohomology of finite group schemes over a field
- Unipotent elements, tilting modules, and saturation.
- Infinite dimensional modules for Frobenius kernels
- Support varieties for Frobenius kernels of classical groups.
- Support varieties for quantum groups
- On exponentiation and infinitesimal one-parameter subgroups of reductive groups.
- Optimal \(\text{SL}(2)\)-homomorphisms.
- The spectrum of an equivariant cohomology ring. I. II
- Constructions for infinitesimal group schemes
- Restrictions to G(𝔽p) and G(r) of rational G-modules
- Infinitesimal 1-parameter subgroups and cohomology
- Support varieties for infinitesimal group schemes
- Spectrum of group cohomology and support varieties
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