RATIONAL GROUP ACTIONS ON AFFINE PI-ALGEBRAS

DOI10.1017/S0017089513000530zbMath1292.16015arXiv1105.4121OpenAlexW2963292075MaRDI QIDQ5397380

Martin Lorenz

Publication date: 20 February 2014

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4121

zbMATH Keywords

group actionsprime idealsalgebras of invariantsaffine algebraic groupsprime spectraaffine PI-algebrasmultiplicity free actionsHopf algebras of regular functions

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Group actions on varieties or schemes (quotients) (14L30) Trace rings and invariant theory (associative rings and algebras) (16R30) Ideals in associative algebras (16D25) Hopf algebras and their applications (16T05)

Cites Work

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• The Dixmier-Moeglin equivalence for Leavitt path algebras.
• Algebraic group actions on noncommutative spectra.
• Prime ideals in the quantum Grassmannian.
• Group actions and rational ideals.
• Finite normalizing extensions of rings
• Algebraic structure of multiparameter quantum groups
• Vanishing of derivations and prime spectra of quantum algebras
• Prime spectrum of \(O_q(M_n(k))\): canonical image and normal separation
• On the set of orbits for a Borel subgroup
• Prime rings satisfying a generalized polynomial identity
• Liberal Extensions
• The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras
• Rings with a polynomial identity

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