A dichotomy for the Gelfand-Kirillov dimensions of simple modules over simple differential rings

DOI10.1007/s10468-017-9728-6zbMath1427.16015OpenAlexW2748995223MaRDI QIDQ1653408

Arnab Dey Sarkar, Ashish Gupta

Publication date: 3 August 2018

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-017-9728-6

zbMATH Keywords

simple moduleGelfand-Kirillov dimensionsimple ring

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Cites Work

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• Representations of solvable Lie algebras. V: On the Gelfand-Kirillov dimension of simple modules
• Modules over crossed products of a division ring by a free Abelian group. I
• GK Dimensions of Simple Modules OverK[X^±1, σ]

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