A rigidity theorem for finite group actions on enveloping algebras of semisimple Lie algebras

DOI10.1006/aima.1995.1022zbMath0823.17011OpenAlexW2075599432WikidataQ115396411 ScholiaQ115396411MaRDI QIDQ1891291

Patrick Polo, Jacques Alev

Publication date: 30 May 1995

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1995.1022

zbMATH Keywords

Weyl algebrasautomorphismssemisimple Lie algebrasenveloping algebrasrigidity theoremGalois embeddings

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Universal enveloping algebras of Lie algebras (16S30)

Related Items (15)

Invariant theory of Artin-Schelter regular algebras: a survey ⋮ Noncommutative Noether's problem vs classic Noether's problem ⋮ Reflection groups and rigidity of quadratic Poisson algebras ⋮ Fixed rings of quantum generalized Weyl algebras ⋮ The Weyl algebra as a fixed ring ⋮ Gorensteinness of invariant subrings of quantum algebras ⋮ Rigidity of graded regular algebras ⋮ Derived invariants of the fixed ring of enveloping algebras of semisimple Lie algebras ⋮ Fixed subrings of Noetherian graded regular rings. ⋮ Nakayama automorphism and rigidity of dual reflection group coactions ⋮ Rigidity of down-up algebras with respect to finite group coactions ⋮ Isomorphisms of finite invariant for enveloping algebras, semi-simple case ⋮ Fixed rings of generalized Weyl algebras ⋮ Quantum linear Galois orders ⋮ Diagrammes de Dynkin et algèbres enveloppantes d'algèbres de lie semi-simples

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