On Coverings and Hyperalgebras of Affine Algebraic Groups

DOI10.2307/1997233zbMath0313.14008OpenAlexW4243627219MaRDI QIDQ4071875

Mitsuhiro Takeuchi

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997233

Mathematics Subject Classification ID

Lie algebras of linear algebraic groups (17B45) Group schemes (14L15) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (12)

Algebraic supergroups and their representations ⋮ Generators and relations for the hyperalgebras of reductive groups ⋮ A hyperalgebraic proof of the isomorphism and isogeny theorems for reductive groups ⋮ Cohomology, hyperalgebras, and representations ⋮ The representative functions on the hyperalgebra ⋮ Harish-Chandra pairs for algebraic affine supergroup schemes over an arbitrary field ⋮ Frobenius kernels of algebraic supergroups and Steinberg's tensor product theorem ⋮ Algebraic supergroups and Harish-Chandra pairs over a commutative ring ⋮ Toward differentiation and integration between Hopf algebroids and Lie algebroids ⋮ Some topics on \(GL_ q(n)\) ⋮ Algebraic groups ⋮ On bimeasurings.

Cites Work

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• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Algebraic groups and Hopf algebras
• A correspondence between Hopf ideals and sub-Hopf algebras
• Une caractérisation d'un groupe algébrique simplement connexe
• Lie Groups and Lie Hyperalgebras Over a Field of Characteristic p > 0 (VI)

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