Homological algebra in the category \(\text{Mod}_{(R\#U(g))}\)

DOI10.1006/JABR.1997.7080zbMath0912.16011OpenAlexW2002568116MaRDI QIDQ1375370

Thomas Guédénon

Publication date: 28 January 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7080

zbMATH Keywords

rings of invariantsuniversal enveloping algebrascategories of modulesLie algebrassmash productsinjective envelopescompatible modulesadjoint functorsactions by derivations

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Automorphisms and endomorphisms (16W20) Universal enveloping (super)algebras (17B35) Projectives and injectives (category-theoretic aspects) (18G05) Derivations, actions of Lie algebras (16W25) Universal enveloping algebras of Lie algebras (16S30) Smash products of general Hopf actions (16S40)

Related Items (5)

THE FUNCTOR AND THE PROJECTIVITY AND INJECTIVITY OF RELATIVE HOPF MODULES ⋮ On the \(H\)-finite cohomology. ⋮ PROJECTIVITY AND FLATNESS OF A MODULE OVER THE SUBRING OF INVARIANTS ⋮ Semisimplicity of Locally Finite Graded R#H-Modules ⋮ On the Cohomology of Relative Hopf Modules

Cites Work

• Cohomology of rings with algebraic group action
• Localization and ideal theory in iterated differential operator rings
• Critères d'induction et de coinduction pour certains anneaux d'opérateurs différentiels. (Induction and coinduction criteria for certain differential operator rings)
• Picard groups of rings of invariants
• Projectivity of modules over rings with suitable group action
• Sur la cohomologie_-fine
• An algebraic approach to the l i e algebras of cartan type
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