Duality for Hopf algebroids

DOI10.1006/jabr.1999.8043zbMath0977.17007OpenAlexW1990532195MaRDI QIDQ1969125

Dmitriy Rumynin

Publication date: 28 August 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8043

zbMATH Keywords

dualityHopf algebroidrestricted enveloping algebracommutative bialgebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Derivations, actions of Lie algebras (16W25)

Related Items

Hitchin map for the moduli space of \(\Lambda \)-modules in positive characteristic ⋮ On the finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory. ⋮ On the bracket of integrable derivations ⋮ Geometric representation theory of restricted Lie algebras ⋮ D-affinity and rational varieties ⋮ Quantization of restricted Lagrangian subvarieties in positive characteristic

Cites Work

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• The Kostant structure theorems for K/k-Hopf algebras
• Ext//ad(SpR,\(mu^ A)\)=Br(A/k)
• Groups of simple algebras
• Hopf-Galois extensions with central invariants and their geometric properties
• Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
• Double Lie algebroids and second-order geometry. II
• Group scheme actions by inner automorphisms
• Notes on Crystalline Cohomology. (MN-21)
• HOPF ALGEBROIDS AND QUANTUM GROUPOIDS
• Simple Algebras With Purely Inseparable Splitting Fields of Exponent 1

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