Cohomology for Frobenius kernels of \(\mathrm{SL}_2\).

DOI10.1016/j.jalgebra.2013.07.033zbMath1306.20048arXiv1209.1662OpenAlexW2100178363MaRDI QIDQ405905

Nham V. Ngo

Publication date: 8 September 2014

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

Full work available at URL: https://arxiv.org/abs/1209.1662

zbMATH Keywords

cohomology groupscohomology ringsquantum groupsgroup schemesFrobenius kernelsinduced modulesspecial linear groupsCohen-Macaulay algebrasFrobenius-Lusztig kernelssimply-connected algebraic groups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Quantum groups (quantized function algebras) and their representations (20G42) Cohomology of Lie (super)algebras (17B56) Cohomology theory for linear algebraic groups (20G10) Group schemes (14L15)

Related Items (4)

Commuting varieties of \(r\)-tuples over Lie algebras. ⋮ Extensions for finite Chevalley groups. III: Rational and generic cohomology. ⋮ On nilpotent commuting varieties and cohomology of Frobenius kernels ⋮ Cohomology of SL₂ and related structures

Cites Work

• Representations and cohomology for Frobenius-Lusztig kernels
• Lie theory. Lie algebras and representations
• Cohomology of induced representations for algebraic groups
• Second cohomology groups for Frobenius kernels and related structures.
• Cohomology, hyperalgebras, and representations
• Infinitesimal fixed points in modules with good filtration
• Extensions for Frobenius kernels.
• Cohomology of Lie Algebras and Algebraic Groups
• Infinitesimal 1-parameter subgroups and cohomology
• Support varieties for infinitesimal group schemes
• Actions of reductive groups on regular rings and Cohen-Macaulay rings
• A q-Analogue of Kempf's vanishing theorem
• A Polynomial Time Algorithm for Counting Integral Points in Polyhedra When the Dimension is Fixed
• Cohomology of finite-dimensional pointed Hopf algebras
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