Semisimplicity of Locally Finite Graded R#H-Modules

DOI10.1142/S1005386709000133zbMath1170.16029MaRDI QIDQ3607460

Thomas Guédénon

Publication date: 2 March 2009

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

Full work available at URL: http://www.worldscinet.com/ac/16/1601/S1005386709000133.html

zbMATH Keywords

graded algebrassemisimple modulesgraded modulessmash productscolour algebrascolour Hopf algebras

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05)

Cites Work

• A Schur double centralizer theorem for cotriangular Hopf algebras and generalized Lie algebras
• Quantum Yang-Baxter module algebras
• Homological algebra in the category \(\text{Mod}_{(R\#U(g))}\)
• Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension
• The general linear supergroup and its Hopf superalgebra of regular functions.
• PROJECTIVITY AND FLATNESS OF A MODULE OVER THE SUBRING OF INVARIANTS
• Invariant integration on classical and quantum Lie supergroups
• Graded tensor calculus
• The semisimplicity of smash products of quantum commutative algebras
• Lie superalgebras
• Representations of Lie colour algebras

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