The noncommutative Noether's problem is almost equivalent to the classical Noether's problem

DOI10.1016/J.AIM.2021.108161OpenAlexW4206697763MaRDI QIDQ2071636

Akaki Tikaradze

Publication date: 28 January 2022

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

Full work available at URL: https://arxiv.org/abs/2104.08674

zbMATH Keywords

Weyl algebrasNoether's problemrings of differential operatorsrings of fractionsactions of groups

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Rings of differential operators (associative algebraic aspects) (16S32) Associative rings of fractions and localizations (16S85)

Cites Work

• Unnamed Item
• Noether's problem over an algebraically closed field
• Modular Lie algebras and the Gelfand-Kirillov conjecture
• Fixed rings of finite automorphism groups of associative rings
• Noncommutative Noether's problem vs classic Noether's problem
• Localization of modules for a semisimple Lie algebra in prime characteristic (with an appendix by R. Bezrukavnikov and S. Riche, Computation for \(\text{sl}(3))\)
• Invariant rational functions and a problem of Steenrod
• Noncommutative Noether’s problem for complex reflection groups

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