Geometrically reductive Hopf algebras and their invariants.

DOI10.1016/J.JALGEBRA.2008.05.015zbMath1154.16028OpenAlexW1978659174MaRDI QIDQ948713

Andrzej Tyc, Marta Kalniuk

Publication date: 17 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.05.015

zbMATH Keywords

reductive groupsinvariant theorymodule algebrascomultiplicationsfinite-dimensional modulesquantum enveloping algebrasgeometrically reductive group algebrasgeometrically reductive Hopf algebrasinvariants of Hopf algebras

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Group rings (16S34) Universal enveloping (super)algebras (17B35)

Related Items (1)

Subrings of invariants for actions of finite-dimensional Hopf algebras

Cites Work

• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• Geometrically reductive Hopf algebras
• Invariant theory
• Geometrically reductive Hopf algebras. II
• Invariants of finite Hopf algebras.
• Integrality of module algebras over its invariants
• Jordan-Chevalley decomposition and invariants for locally finite actions of commutative Hopf algebras
• A counterexample to Hilbert's fourteenth problem in dimension 5
• Invariants of a group in an affine ring
• Actions of Hopf algebras on pro-semisimple noetherian algebras and their invariants
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