Frobenius splitting in characteristic zero and the quantum Frobenius map

DOI10.1016/S0022-4049(99)00140-1zbMath0977.17008WikidataQ127719821 ScholiaQ127719821MaRDI QIDQ1582742

Peter Littelmann, Shrawan Kumar

Publication date: 22 January 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

quantum groupSchubert varietyFrobenius mapgeometric Frobenius splitting

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Grassmannians, Schubert varieties, flag manifolds (14M15) Quantum groups (quantized function algebras) and their representations (20G42) Cohomology theory for linear algebraic groups (20G10)

Related Items (6)

Adapted algebras and standard monomials ⋮ Frobenius contraction of \(G\)-modules ⋮ A splitting of the Frobenius morphism on the whole algebra of distributions of \(\mathrm{SL}_2\) ⋮ Differential operators on quantized flag manifolds at roots of unity ⋮ Seshadri stratification for Schubert varieties and standard monomial theory ⋮ Richardson varieties and equivariant \(K\)-theory.

Cites Work

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• Equations defining Schubert varieties and Frobenius splitting of diagonals
• Filtrations of $G$-modules
• Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras
• Introduction to quantum groups

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