X-inner automorphisms of semi-commutative quantum algebras

DOI10.1006/jabr.1999.7927zbMath0944.16030arXivmath/9804109OpenAlexW2046770348MaRDI QIDQ1806097

Jeffrey Bergen, Mark C. Wilson

Publication date: 20 December 1999

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

Full work available at URL: https://arxiv.org/abs/math/9804109

zbMATH Keywords

crossed productsquantum groupsquantum algebrassemi-commutative algebrasquantum spacesX-inner automorphismsfiltered rings

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Automorphisms and endomorphisms (16W20) Graded rings and modules (associative rings and algebras) (16W50) Filtered associative rings; filtrational and graded techniques (16W70)

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Cites Work

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• The extended centroid and \(X\)-inner automorphisms of Ore extensions
• \(q\)-analogs of harmonic oscillators and related rings
• X-inner automorphisms of enveloping rings
• Crossed Products and Multiplicative Analogues of Weyl Algebras
• X-Inner Automorphisms of Filtered Algebras
• A note on the primitivity of ring extensions
• Derivations of skew polynomial rings