Finite block theory and Hopf algebra actions.

DOI10.1007/s10468-007-9082-1zbMath1194.16025OpenAlexW2087494723MaRDI QIDQ2479824

Jeffrey Bergen, Piotr Grzeszczuk

Publication date: 3 April 2008

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

Full work available at URL: https://doi.org/10.1007/s10468-007-9082-1

zbMATH Keywords

group-like elementsHopf algebrasrings of invariantsLie color algebrascentral idempotentsHopf algebra actionsnumbers of idempotentsgoing downgoing updirect sums of indecomposable subringsrings with finite block theories

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Color Lie (super)algebras (17B75) Graded rings and modules (associative rings and algebras) (16W50) Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05)

Cites Work

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• Constants of Lie algebra actions
• Identities of algebras with actions of Hopf algebras
• On antipodes in pointed Hopf algebras
• Invariants of Lie superalgebras acting on associative algebras
• ON A DADE'S CONJECTURE
• Group graded rings
• Invariants of Lie color algebras acting on graded algebras
• An Associative Orthogonal Bilinear Form for Hopf Algebras
• Rings with Fixed-Point-Free Group Actions
• Group-graded rings and finite block theory.