Cohomology of SL2 and related structures

DOI10.1080/00927872.2017.1335741zbMath1473.20052arXiv1508.05534OpenAlexW2340473458MaRDI QIDQ5745085

Nham V. Ngo, Yichao Zhang, Klaus Lux

Publication date: 5 June 2018

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

Full work available at URL: https://arxiv.org/abs/1508.05534

zbMATH Keywords

symmetric groupsalgebraic groupscohomologyWeyl moduleFrobenius kernels

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33) Cohomology theory for linear algebraic groups (20G10)

Related Items (1)

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Cites Work

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• Cohomology for Frobenius kernels of \(\mathrm{SL}_2\).
• Bounding Ext for modules for algebraic groups, finite groups and quantum groups.
• On comparing the cohomology of general linear and symmetric groups.
• Cohomology and generic cohomology of Specht modules for the symmetric group.
• On the cohomology of Specht modules.
• Second cohomology groups for Frobenius kernels and related structures.
• Higher extensions between modules for \(\text{SL}_2\).
• Cohomology, hyperalgebras, and representations
• Rational and generic cohomology
• Cohomological growth rates and Kazhdan-Lusztig polynomials.
• \(\text{Ext}^ 1\) for Weyl modules of \(\text{SL}_ 2(K)\)
• Unbounding Ext.
• Bounding cohomology for finite groups and Frobenius kernels.
• The Weyl extension algebra of \(GL_2(\overline{\mathbb F}_p)\).
• Bounding and unbounding higher extensions for \(\mathrm{SL}_2\).
• Third cohomology for Frobenius kernels and related structures
• The Cohomology of Irreducible Modules Over SL(2,pⁿ )
• On Ext² between Weyl modules for quantum GL_n

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