A splitting of the Frobenius morphism on the whole algebra of distributions of \(\mathrm{SL}_2\)

DOI10.1007/s10468-010-9234-6zbMath1287.14008OpenAlexW2095469704MaRDI QIDQ434255

Michel Gros

Publication date: 10 July 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-010-9234-6

zbMATH Keywords

Frobenius splittingalgebra of distributions

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Modular Lie (super)algebras (17B50) Universal enveloping algebras of Lie algebras (16S30)

Related Items

Frobenius contraction of \(G\)-modules ⋮ Projective modules for the subalgebra of degree 0 in a finite-dimensional hyperalgebra of type 𝐴₁ ⋮ A splitting of the quantum Frobenius morphism ⋮ Defect-based local error estimators for high-order splitting methods involving three linear operators ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Equivariant localization of \(\overline D\)-modules on the flag variety of the symplectic group of degree 4.
• Explicit Frobenius descent for \({\mathcal D}^\dagger\)-modules
• Frobenius splitting in characteristic zero and the quantum Frobenius map
• Algebraization of Frobenius splitting via quantum groups.
• On Kashiwara's equivalence in positive characteristic
• Localization of modules for a semisimple Lie algebra in prime characteristic (with an appendix by R. Bezrukavnikov and S. Riche, Computation for \(\text{sl}(3))\)
• The submodule structure of characteristic p verma modules for croups of type at
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
• Modular representations of classical Lie algebras